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Finding the Fourth Proportional to 731.75, 1,096.20 and 729.32

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Solution

The fourth proportional to 731.75, 1,096.20 and 729.32 is: 1,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.75 : 1,096.20 = 729.32 : x
  2. Step 2: Convert to fraction form
    731.75/1,096.20 = 729.32/x
  3. Step 3: Cross multiply
    731.75x = 1,096.20 × 729.32
  4. Step 4: Simplify right side
    731.75x = 799,475.10
  5. Step 5: Solve for x
    x = 799,475.10/731.75
  6. Step 6: Final answer
    x = 1,092.56

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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.