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Finding the Fourth Proportional to 732.24, 1,099.44 and 667.44

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Solution

The fourth proportional to 732.24, 1,099.44 and 667.44 is: 1,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.24 : 1,099.44 = 667.44 : x
  2. Step 2: Convert to fraction form
    732.24/1,099.44 = 667.44/x
  3. Step 3: Cross multiply
    732.24x = 1,099.44 × 667.44
  4. Step 4: Simplify right side
    732.24x = 733,810.23
  5. Step 5: Solve for x
    x = 733,810.23/732.24
  6. Step 6: Final answer
    x = 1,002.14

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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.