Final answer:
Johann Strauss II is known as the "Waltz King" and was an iconic figure of the Romantic era, revered by Johannes Brahms for his contributions to Viennese dance music, including waltzes like The Blue Danube.
Step-by-step explanation:
The "Waltz King" that represented the popular dance tradition in Vienna and was greatly revered by Johannes Brahms is Johann Strauss II. He was a prolific composer of the Romantic era, best known for his waltzes, which epitomized the popular Viennese dance music of his time. Strauss's music was characterized by its rhythmic vivacity, melodies, and the artful fusion of dance music with concertante style, which attracted admiration from fellow composers, including Brahms.
Among Strauss's most enduring works are The Blue Danube, composed in 1867, and the operetta Die Fledermaus. These compositions, alongside numerous others, contributed to Strauss's enduring reputation as the preeminent figure in Viennese dance music and one of the most popular Romantic composers of the 19th century.