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Finding the Fourth Proportional to 731.12, 1,007.32 and 509.68

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Solution

The fourth proportional to 731.12, 1,007.32 and 509.68 is: 702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.12 : 1,007.32 = 509.68 : x
  2. Step 2: Convert to fraction form
    731.12/1,007.32 = 509.68/x
  3. Step 3: Cross multiply
    731.12x = 1,007.32 × 509.68
  4. Step 4: Simplify right side
    731.12x = 513,410.86
  5. Step 5: Solve for x
    x = 513,410.86/731.12
  6. Step 6: Final answer
    x = 702.23

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Why These Related Problems?

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