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Finding the Fourth Proportional to 1,414.50, 2,121.99 and 440.41

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Solution

The fourth proportional to 1,414.50, 2,121.99 and 440.41 is: 660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.50 : 2,121.99 = 440.41 : x
  2. Step 2: Convert to fraction form
    1,414.50/2,121.99 = 440.41/x
  3. Step 3: Cross multiply
    1,414.50x = 2,121.99 × 440.41
  4. Step 4: Simplify right side
    1,414.50x = 934,540.31
  5. Step 5: Solve for x
    x = 934,540.31/1,414.50
  6. Step 6: Final answer
    x = 660.69

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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.