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Finding the Fourth Proportional to 732.48, 1,097.72 and 269.80

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Solution

The fourth proportional to 732.48, 1,097.72 and 269.80 is: 404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.48 : 1,097.72 = 269.80 : x
  2. Step 2: Convert to fraction form
    732.48/1,097.72 = 269.80/x
  3. Step 3: Cross multiply
    732.48x = 1,097.72 × 269.80
  4. Step 4: Simplify right side
    732.48x = 296,164.86
  5. Step 5: Solve for x
    x = 296,164.86/732.48
  6. Step 6: Final answer
    x = 404.33

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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.