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Finding the Fourth Proportional to 731.91, 1,010.28 and 523.14

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Solution

The fourth proportional to 731.91, 1,010.28 and 523.14 is: 722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.91 : 1,010.28 = 523.14 : x
  2. Step 2: Convert to fraction form
    731.91/1,010.28 = 523.14/x
  3. Step 3: Cross multiply
    731.91x = 1,010.28 × 523.14
  4. Step 4: Simplify right side
    731.91x = 528,517.88
  5. Step 5: Solve for x
    x = 528,517.88/731.91
  6. Step 6: Final answer
    x = 722.11

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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.