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Finding the Fourth Proportional to 1,787.18, 2,680.56 and 488.78

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Solution

The fourth proportional to 1,787.18, 2,680.56 and 488.78 is: 733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.18 : 2,680.56 = 488.78 : x
  2. Step 2: Convert to fraction form
    1,787.18/2,680.56 = 488.78/x
  3. Step 3: Cross multiply
    1,787.18x = 2,680.56 × 488.78
  4. Step 4: Simplify right side
    1,787.18x = 1,310,204.12
  5. Step 5: Solve for x
    x = 1,310,204.12/1,787.18
  6. Step 6: Final answer
    x = 733.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.