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Finding the Fourth Proportional to 729.92, 1,006.88 and 435.04

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Solution

The fourth proportional to 729.92, 1,006.88 and 435.04 is: 600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.92 : 1,006.88 = 435.04 : x
  2. Step 2: Convert to fraction form
    729.92/1,006.88 = 435.04/x
  3. Step 3: Cross multiply
    729.92x = 1,006.88 × 435.04
  4. Step 4: Simplify right side
    729.92x = 438,033.08
  5. Step 5: Solve for x
    x = 438,033.08/729.92
  6. Step 6: Final answer
    x = 600.11

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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.