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Finding the Fourth Proportional to 1,414.71, 2,123.28 and 684.90

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Solution

The fourth proportional to 1,414.71, 2,123.28 and 684.90 is: 1,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.71 : 2,123.28 = 684.90 : x
  2. Step 2: Convert to fraction form
    1,414.71/2,123.28 = 684.90/x
  3. Step 3: Cross multiply
    1,414.71x = 2,123.28 × 684.90
  4. Step 4: Simplify right side
    1,414.71x = 1,454,234.47
  5. Step 5: Solve for x
    x = 1,454,234.47/1,414.71
  6. Step 6: Final answer
    x = 1,027.94

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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.