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Finding the Fourth Proportional to 731.72, 1,096.14 and 559.88

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Solution

The fourth proportional to 731.72, 1,096.14 and 559.88 is: 838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.72 : 1,096.14 = 559.88 : x
  2. Step 2: Convert to fraction form
    731.72/1,096.14 = 559.88/x
  3. Step 3: Cross multiply
    731.72x = 1,096.14 × 559.88
  4. Step 4: Simplify right side
    731.72x = 613,706.86
  5. Step 5: Solve for x
    x = 613,706.86/731.72
  6. Step 6: Final answer
    x = 838.72

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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.