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Finding the Fourth Proportional to 732.54, 1,098.61 and 212.43

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Solution

The fourth proportional to 732.54, 1,098.61 and 212.43 is: 318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.54 : 1,098.61 = 212.43 : x
  2. Step 2: Convert to fraction form
    732.54/1,098.61 = 212.43/x
  3. Step 3: Cross multiply
    732.54x = 1,098.61 × 212.43
  4. Step 4: Simplify right side
    732.54x = 233,377.72
  5. Step 5: Solve for x
    x = 233,377.72/732.54
  6. Step 6: Final answer
    x = 318.59

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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.