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Finding the Fourth Proportional to 1,414.38, 2,121.85 and 440.44

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Solution

The fourth proportional to 1,414.38, 2,121.85 and 440.44 is: 660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.38 : 2,121.85 = 440.44 : x
  2. Step 2: Convert to fraction form
    1,414.38/2,121.85 = 440.44/x
  3. Step 3: Cross multiply
    1,414.38x = 2,121.85 × 440.44
  4. Step 4: Simplify right side
    1,414.38x = 934,547.61
  5. Step 5: Solve for x
    x = 934,547.61/1,414.38
  6. Step 6: Final answer
    x = 660.75

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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.