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Finding the Fourth Proportional to 732.66, 1,099.23 and 458.43

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Solution

The fourth proportional to 732.66, 1,099.23 and 458.43 is: 687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.66 : 1,099.23 = 458.43 : x
  2. Step 2: Convert to fraction form
    732.66/1,099.23 = 458.43/x
  3. Step 3: Cross multiply
    732.66x = 1,099.23 × 458.43
  4. Step 4: Simplify right side
    732.66x = 503,920.01
  5. Step 5: Solve for x
    x = 503,920.01/732.66
  6. Step 6: Final answer
    x = 687.80

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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.