Dvořák was an army service enlistee for two years, and during this time he was a member of the national Olympic military patrol team in 1948 which placed sixth. Before they went to St. Moritz, they trained in Špindlerův Mlýn.
Dvořák was a member of the ''Sportovní klub Nové Město na Moravě'' until 1951 and afterwards of the ''ZSJ Autozávody Vrchlabí''. He was national master in 18 km cross-country skiing in 1950 and 1952, was member of the relay masterteams of 1947, 1948, 1949 and 1950, and won the ČSMV Zlata Lyze (''Golden Ski'') cross-country ski race from 1950 to 1952 in a row.
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