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Finding the Fourth Proportional to 787.82, 1,087.11 and 456.17

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Solution

The fourth proportional to 787.82, 1,087.11 and 456.17 is: 629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.82 : 1,087.11 = 456.17 : x
  2. Step 2: Convert to fraction form
    787.82/1,087.11 = 456.17/x
  3. Step 3: Cross multiply
    787.82x = 1,087.11 × 456.17
  4. Step 4: Simplify right side
    787.82x = 495,901.53
  5. Step 5: Solve for x
    x = 495,901.53/787.82
  6. Step 6: Final answer
    x = 629.46

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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.