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Finding the Fourth Proportional to 766.97, 1,058.42 and 452.24

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Solution

The fourth proportional to 766.97, 1,058.42 and 452.24 is: 624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.97 : 1,058.42 = 452.24 : x
  2. Step 2: Convert to fraction form
    766.97/1,058.42 = 452.24/x
  3. Step 3: Cross multiply
    766.97x = 1,058.42 × 452.24
  4. Step 4: Simplify right side
    766.97x = 478,652.31
  5. Step 5: Solve for x
    x = 478,652.31/766.97
  6. Step 6: Final answer
    x = 624.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.