Adds detail, updates prices as of 0720 GMT

By Pablo Sinha

April 10 (Reuters) - Gold prices ticked lower on Friday, weighed down by a firmer dollar and U.S.-Iran ceasefire uncertainty, but were on course for a third straight weekly climb as investors priced in earlier and deeper U.S. rate cuts, supporting non-yielding bullion.

Spot gold XAU= inched 0.2% lower to $4,752.67 per ounce by 0720 GMT. The metal, however, has gained 1.6% so far this week.

U.S. gold futures GCcv1 for June delivery fell 0.9% to $4,776.60 on Friday.

The dollar index .DXY strengthened, making greenback-priced bullion more expensive for holders of other currencies. USD/

"There's a lack of clarity about the way the ceasefire is evolving in the Middle East and what that means to energy markets... so we're in sort of a little bit of a holding pattern (with gold) going into the final session of the week," said Kyle Rodda, senior financial market analyst at Capital.com.

Spot gold has fallen about 10% since the Iran war started on February 28, with elevated energy prices sparking inflation concerns and the prospect of higher U.S. interest rates.

The fragile two-week ceasefire between the U.S. and Iran showed further strain on Friday, as Washington accused Tehran of breaching promises on the Strait of Hormuz.

Brent crude, however, has slid more than 11% this week on optimism that the ceasefire could reopen the strait, through which about 20% of the world's oil and liquefied natural gas passes. O/R

"If things break down, (gold) could end up back in mid-$4,000's pretty quickly. But if the ceasefire holds and the peace deal starts to look more likely, then we could push through $5,000," Rodda said.

On the data front, the U.S. Personal Consumption Expenditures index, the Federal Reserve's preferred inflation gauge, advanced 2.8% in the 12 months through February, in line with estimates, and likely rose further in March.

Investors are now looking out for March's U.S. Consumer Price Index data, due later in the day, for further clues on Fed's monetary policy direction.

Markets are pricing in a 31% chance of a rate cut of at least 25 basis points in December, according to the CME's FedWatch Tool, up from 20% in the prior session. FEDWATCH

Meanwhile, gold demand in India picked up slightly this week ahead of a key festival, while premiums in China narrowed as retail demand slowed. GOL/AS

Among other metals, spot silver XAG= rose 0.5% to $75.48 per ounce, platinum XPT= lost 2.5% to $2,049.84, and palladium XPD= fell 0.3% to $1,552.59.