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Finding the Fourth Proportional to 732.61, 1,098.73 and 270.13

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Solution

The fourth proportional to 732.61, 1,098.73 and 270.13 is: 405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.61 : 1,098.73 = 270.13 : x
  2. Step 2: Convert to fraction form
    732.61/1,098.73 = 270.13/x
  3. Step 3: Cross multiply
    732.61x = 1,098.73 × 270.13
  4. Step 4: Simplify right side
    732.61x = 296,799.93
  5. Step 5: Solve for x
    x = 296,799.93/732.61
  6. Step 6: Final answer
    x = 405.13

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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.