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Finding the Fourth Proportional to 932.24, 1,397.64 and 499.16

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Solution

The fourth proportional to 932.24, 1,397.64 and 499.16 is: 748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.24 : 1,397.64 = 499.16 : x
  2. Step 2: Convert to fraction form
    932.24/1,397.64 = 499.16/x
  3. Step 3: Cross multiply
    932.24x = 1,397.64 × 499.16
  4. Step 4: Simplify right side
    932.24x = 697,645.98
  5. Step 5: Solve for x
    x = 697,645.98/932.24
  6. Step 6: Final answer
    x = 748.35

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Why These Related Problems?

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