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Finding the Fourth Proportional to 732.34, 1,098.71 and 293.72

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Solution

The fourth proportional to 732.34, 1,098.71 and 293.72 is: 440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.34 : 1,098.71 = 293.72 : x
  2. Step 2: Convert to fraction form
    732.34/1,098.71 = 293.72/x
  3. Step 3: Cross multiply
    732.34x = 1,098.71 × 293.72
  4. Step 4: Simplify right side
    732.34x = 322,711.63
  5. Step 5: Solve for x
    x = 322,711.63/732.34
  6. Step 6: Final answer
    x = 440.66

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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.