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Finding the Fourth Proportional to 729.30, 1,092.82 and 484.94

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Solution

The fourth proportional to 729.30, 1,092.82 and 484.94 is: 726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.30 : 1,092.82 = 484.94 : x
  2. Step 2: Convert to fraction form
    729.30/1,092.82 = 484.94/x
  3. Step 3: Cross multiply
    729.30x = 1,092.82 × 484.94
  4. Step 4: Simplify right side
    729.30x = 529,952.13
  5. Step 5: Solve for x
    x = 529,952.13/729.30
  6. Step 6: Final answer
    x = 726.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.