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Finding the Fourth Proportional to 731.72, 1,097.12 and 293.04

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Solution

The fourth proportional to 731.72, 1,097.12 and 293.04 is: 439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.72 : 1,097.12 = 293.04 : x
  2. Step 2: Convert to fraction form
    731.72/1,097.12 = 293.04/x
  3. Step 3: Cross multiply
    731.72x = 1,097.12 × 293.04
  4. Step 4: Simplify right side
    731.72x = 321,500.78
  5. Step 5: Solve for x
    x = 321,500.78/731.72
  6. Step 6: Final answer
    x = 439.38

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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.