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Finding the Fourth Proportional to 1,414.70, 2,122.00 and 440.54

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Solution

The fourth proportional to 1,414.70, 2,122.00 and 440.54 is: 660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.70 : 2,122.00 = 440.54 : x
  2. Step 2: Convert to fraction form
    1,414.70/2,122.00 = 440.54/x
  3. Step 3: Cross multiply
    1,414.70x = 2,122.00 × 440.54
  4. Step 4: Simplify right side
    1,414.70x = 934,814.17
  5. Step 5: Solve for x
    x = 934,814.17/1,414.70
  6. Step 6: Final answer
    x = 660.79

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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.