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Finding the Fourth Proportional to 732.24, 1,098.77 and 299.70

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Solution

The fourth proportional to 732.24, 1,098.77 and 299.70 is: 449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.24 : 1,098.77 = 299.70 : x
  2. Step 2: Convert to fraction form
    732.24/1,098.77 = 299.70/x
  3. Step 3: Cross multiply
    732.24x = 1,098.77 × 299.70
  4. Step 4: Simplify right side
    732.24x = 329,304.12
  5. Step 5: Solve for x
    x = 329,304.12/732.24
  6. Step 6: Final answer
    x = 449.72

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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.