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Finding the Fourth Proportional to 932.92, 1,399.96 and 445.97

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Solution

The fourth proportional to 932.92, 1,399.96 and 445.97 is: 669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.92 : 1,399.96 = 445.97 : x
  2. Step 2: Convert to fraction form
    932.92/1,399.96 = 445.97/x
  3. Step 3: Cross multiply
    932.92x = 1,399.96 × 445.97
  4. Step 4: Simplify right side
    932.92x = 624,344.22
  5. Step 5: Solve for x
    x = 624,344.22/932.92
  6. Step 6: Final answer
    x = 669.24

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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.