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Finding the Fourth Proportional to 731.29, 1,096.98 and 423.49

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Solution

The fourth proportional to 731.29, 1,096.98 and 423.49 is: 635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.29 : 1,096.98 = 423.49 : x
  2. Step 2: Convert to fraction form
    731.29/1,096.98 = 423.49/x
  3. Step 3: Cross multiply
    731.29x = 1,096.98 × 423.49
  4. Step 4: Simplify right side
    731.29x = 464,560.06
  5. Step 5: Solve for x
    x = 464,560.06/731.29
  6. Step 6: Final answer
    x = 635.26

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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.