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Finding the Fourth Proportional to 787.44, 1,086.84 and 477.36

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Solution

The fourth proportional to 787.44, 1,086.84 and 477.36 is: 658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.44 : 1,086.84 = 477.36 : x
  2. Step 2: Convert to fraction form
    787.44/1,086.84 = 477.36/x
  3. Step 3: Cross multiply
    787.44x = 1,086.84 × 477.36
  4. Step 4: Simplify right side
    787.44x = 518,813.94
  5. Step 5: Solve for x
    x = 518,813.94/787.44
  6. Step 6: Final answer
    x = 658.86

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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.