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Finding the Fourth Proportional to 787.92, 1,087.49 and 631.59

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Solution

The fourth proportional to 787.92, 1,087.49 and 631.59 is: 871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,087.49 = 631.59 : x
  2. Step 2: Convert to fraction form
    787.92/1,087.49 = 631.59/x
  3. Step 3: Cross multiply
    787.92x = 1,087.49 × 631.59
  4. Step 4: Simplify right side
    787.92x = 686,847.81
  5. Step 5: Solve for x
    x = 686,847.81/787.92
  6. Step 6: Final answer
    x = 871.72

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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.