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Rublev won Monday's (AEDT) final 7-6 (7-4) 6-4 to claim his fourth consecutive ATP 500 title.
The world number eight from Russia has now won 13 of his 14 matches this year, his only defeat coming against Daniil Medvedev in the quarter-finals of the Australian Open.
Rublev won 75 per cent of points on his first serve, winning the first set on a tie-break after saving four break points in the opening game.
Fucsovics was unable to turn it around in the second set, Rublev claiming his second win in three meetings with Fucsovics.
Just the one break in the opening game of the second set was enough for Rublev to add to his victories in Hamburg, St. Petersburg and Vienna last year.