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Finding the Fourth Proportional to 767.97, 1,150.43 and 458.96

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Solution

The fourth proportional to 767.97, 1,150.43 and 458.96 is: 687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.97 : 1,150.43 = 458.96 : x
  2. Step 2: Convert to fraction form
    767.97/1,150.43 = 458.96/x
  3. Step 3: Cross multiply
    767.97x = 1,150.43 × 458.96
  4. Step 4: Simplify right side
    767.97x = 527,993.31
  5. Step 5: Solve for x
    x = 527,993.31/767.97
  6. Step 6: Final answer
    x = 687.52

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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.