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Finding the Fourth Proportional to 768.27, 1,154.24 and 494.90

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Solution

The fourth proportional to 768.27, 1,154.24 and 494.90 is: 743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.27 : 1,154.24 = 494.90 : x
  2. Step 2: Convert to fraction form
    768.27/1,154.24 = 494.90/x
  3. Step 3: Cross multiply
    768.27x = 1,154.24 × 494.90
  4. Step 4: Simplify right side
    768.27x = 571,233.38
  5. Step 5: Solve for x
    x = 571,233.38/768.27
  6. Step 6: Final answer
    x = 743.53

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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.