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Finding the Fourth Proportional to 787.56, 1,086.92 and 456.07

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Solution

The fourth proportional to 787.56, 1,086.92 and 456.07 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.56 : 1,086.92 = 456.07 : x
  2. Step 2: Convert to fraction form
    787.56/1,086.92 = 456.07/x
  3. Step 3: Cross multiply
    787.56x = 1,086.92 × 456.07
  4. Step 4: Simplify right side
    787.56x = 495,711.60
  5. Step 5: Solve for x
    x = 495,711.60/787.56
  6. Step 6: Final answer
    x = 629.43

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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.