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Finding the Fourth Proportional to 731.91, 1,097.23 and 424.02

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Solution

The fourth proportional to 731.91, 1,097.23 and 424.02 is: 635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.91 : 1,097.23 = 424.02 : x
  2. Step 2: Convert to fraction form
    731.91/1,097.23 = 424.02/x
  3. Step 3: Cross multiply
    731.91x = 1,097.23 × 424.02
  4. Step 4: Simplify right side
    731.91x = 465,247.46
  5. Step 5: Solve for x
    x = 465,247.46/731.91
  6. Step 6: Final answer
    x = 635.66

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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.