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Finding the Fourth Proportional to 787.80, 1,087.43 and 456.56

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Solution

The fourth proportional to 787.80, 1,087.43 and 456.56 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.80 : 1,087.43 = 456.56 : x
  2. Step 2: Convert to fraction form
    787.80/1,087.43 = 456.56/x
  3. Step 3: Cross multiply
    787.80x = 1,087.43 × 456.56
  4. Step 4: Simplify right side
    787.80x = 496,476.46
  5. Step 5: Solve for x
    x = 496,476.46/787.80
  6. Step 6: Final answer
    x = 630.21

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