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Finding the Fourth Proportional to 732.34, 1,097.84 and 269.80

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Solution

The fourth proportional to 732.34, 1,097.84 and 269.80 is: 404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.34 : 1,097.84 = 269.80 : x
  2. Step 2: Convert to fraction form
    732.34/1,097.84 = 269.80/x
  3. Step 3: Cross multiply
    732.34x = 1,097.84 × 269.80
  4. Step 4: Simplify right side
    732.34x = 296,197.23
  5. Step 5: Solve for x
    x = 296,197.23/732.34
  6. Step 6: Final answer
    x = 404.45

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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.