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Finding the Fourth Proportional to 773.15, 1,160.02 and 495.42

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Solution

The fourth proportional to 773.15, 1,160.02 and 495.42 is: 743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.15 : 1,160.02 = 495.42 : x
  2. Step 2: Convert to fraction form
    773.15/1,160.02 = 495.42/x
  3. Step 3: Cross multiply
    773.15x = 1,160.02 × 495.42
  4. Step 4: Simplify right side
    773.15x = 574,693.38
  5. Step 5: Solve for x
    x = 574,693.38/773.15
  6. Step 6: Final answer
    x = 743.32

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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.