Oil prices fell more than 5 percent on Tuesday to a three-week low after comments by Qatari and US officials raised hopes for a diplomatic resolution to the Iran war that could improve oil flows through the Strait of Hormuz. Brent crude futures were down USD 4.44, or 5.3 percent, to USD 79.33 a barrel by 1:17 p.m. ET (1717 GMT). US West Texas Intermediate futures dropped USD 4.52, or 5.6 percen