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Finding the Fourth Proportional to 767.32, 1,149.36 and 506.42

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Solution

The fourth proportional to 767.32, 1,149.36 and 506.42 is: 758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.32 : 1,149.36 = 506.42 : x
  2. Step 2: Convert to fraction form
    767.32/1,149.36 = 506.42/x
  3. Step 3: Cross multiply
    767.32x = 1,149.36 × 506.42
  4. Step 4: Simplify right side
    767.32x = 582,058.89
  5. Step 5: Solve for x
    x = 582,058.89/767.32
  6. Step 6: Final answer
    x = 758.56

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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.