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Finding the Fourth Proportional to 932.32, 1,399.05 and 499.78

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Solution

The fourth proportional to 932.32, 1,399.05 and 499.78 is: 749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.32 : 1,399.05 = 499.78 : x
  2. Step 2: Convert to fraction form
    932.32/1,399.05 = 499.78/x
  3. Step 3: Cross multiply
    932.32x = 1,399.05 × 499.78
  4. Step 4: Simplify right side
    932.32x = 699,217.21
  5. Step 5: Solve for x
    x = 699,217.21/932.32
  6. Step 6: Final answer
    x = 749.98

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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.