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Finding the Fourth Proportional to 732.20, 1,098.50 and 299.25

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Solution

The fourth proportional to 732.20, 1,098.50 and 299.25 is: 448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.20 : 1,098.50 = 299.25 : x
  2. Step 2: Convert to fraction form
    732.20/1,098.50 = 299.25/x
  3. Step 3: Cross multiply
    732.20x = 1,098.50 × 299.25
  4. Step 4: Simplify right side
    732.20x = 328,724.63
  5. Step 5: Solve for x
    x = 328,724.63/732.20
  6. Step 6: Final answer
    x = 448.96

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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.