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Finding the Fourth Proportional to 729.91, 1,007.02 and 508.78

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Solution

The fourth proportional to 729.91, 1,007.02 and 508.78 is: 701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.91 : 1,007.02 = 508.78 : x
  2. Step 2: Convert to fraction form
    729.91/1,007.02 = 508.78/x
  3. Step 3: Cross multiply
    729.91x = 1,007.02 × 508.78
  4. Step 4: Simplify right side
    729.91x = 512,351.64
  5. Step 5: Solve for x
    x = 512,351.64/729.91
  6. Step 6: Final answer
    x = 701.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.