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Finding the Fourth Proportional to 731.69, 1,097.97 and 269.80

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Solution

The fourth proportional to 731.69, 1,097.97 and 269.80 is: 404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.69 : 1,097.97 = 269.80 : x
  2. Step 2: Convert to fraction form
    731.69/1,097.97 = 269.80/x
  3. Step 3: Cross multiply
    731.69x = 1,097.97 × 269.80
  4. Step 4: Simplify right side
    731.69x = 296,226.82
  5. Step 5: Solve for x
    x = 296,226.82/731.69
  6. Step 6: Final answer
    x = 404.85

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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.