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Finding the Fourth Proportional to 1,787.25, 2,680.87 and 632.19

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Solution

The fourth proportional to 1,787.25, 2,680.87 and 632.19 is: 948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.25 : 2,680.87 = 632.19 : x
  2. Step 2: Convert to fraction form
    1,787.25/2,680.87 = 632.19/x
  3. Step 3: Cross multiply
    1,787.25x = 2,680.87 × 632.19
  4. Step 4: Simplify right side
    1,787.25x = 1,694,819.21
  5. Step 5: Solve for x
    x = 1,694,819.21/1,787.25
  6. Step 6: Final answer
    x = 948.28

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Why These Related Problems?

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