The United States, winners of the men's gold medal every year they had competed, advanced all of their archers.
Pace, who won gold four years earlier, sprang from near-elimination in the 1/8 final to first place in the quarterfinal.
It was bronze medal defender Hiroshi Yamamoto that barely escaped elimination in this round.
Yamamoto, the defending silver medallist, avoided that fate by shooting two points better than Pace to place eighth.
The United States and Korea, having vied for dominance throughout the competition, won a gold and silver medal, respectively.