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Finding the Fourth Proportional to 731.91, 1,102.16 and 527.89

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Solution

The fourth proportional to 731.91, 1,102.16 and 527.89 is: 794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.91 : 1,102.16 = 527.89 : x
  2. Step 2: Convert to fraction form
    731.91/1,102.16 = 527.89/x
  3. Step 3: Cross multiply
    731.91x = 1,102.16 × 527.89
  4. Step 4: Simplify right side
    731.91x = 581,819.24
  5. Step 5: Solve for x
    x = 581,819.24/731.91
  6. Step 6: Final answer
    x = 794.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.