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Finding the Fourth Proportional to 1,414.59, 2,122.25 and 440.70

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Solution

The fourth proportional to 1,414.59, 2,122.25 and 440.70 is: 661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.59 : 2,122.25 = 440.70 : x
  2. Step 2: Convert to fraction form
    1,414.59/2,122.25 = 440.70/x
  3. Step 3: Cross multiply
    1,414.59x = 2,122.25 × 440.70
  4. Step 4: Simplify right side
    1,414.59x = 935,273.37
  5. Step 5: Solve for x
    x = 935,273.37/1,414.59
  6. Step 6: Final answer
    x = 661.16

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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.