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Finding the Fourth Proportional to 731.57, 1,097.37 and 269.46

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Solution

The fourth proportional to 731.57, 1,097.37 and 269.46 is: 404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.57 : 1,097.37 = 269.46 : x
  2. Step 2: Convert to fraction form
    731.57/1,097.37 = 269.46/x
  3. Step 3: Cross multiply
    731.57x = 1,097.37 × 269.46
  4. Step 4: Simplify right side
    731.57x = 295,697.32
  5. Step 5: Solve for x
    x = 295,697.32/731.57
  6. Step 6: Final answer
    x = 404.19

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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.