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Finding the Fourth Proportional to 732.11, 1,098.61 and 299.25

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Solution

The fourth proportional to 732.11, 1,098.61 and 299.25 is: 449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.11 : 1,098.61 = 299.25 : x
  2. Step 2: Convert to fraction form
    732.11/1,098.61 = 299.25/x
  3. Step 3: Cross multiply
    732.11x = 1,098.61 × 299.25
  4. Step 4: Simplify right side
    732.11x = 328,758.29
  5. Step 5: Solve for x
    x = 328,758.29/732.11
  6. Step 6: Final answer
    x = 449.06

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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.