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Finding the Fourth Proportional to 1,414.59, 2,121.75 and 490.17

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Solution

The fourth proportional to 1,414.59, 2,121.75 and 490.17 is: 735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.59 : 2,121.75 = 490.17 : x
  2. Step 2: Convert to fraction form
    1,414.59/2,121.75 = 490.17/x
  3. Step 3: Cross multiply
    1,414.59x = 2,121.75 × 490.17
  4. Step 4: Simplify right side
    1,414.59x = 1,040,018.20
  5. Step 5: Solve for x
    x = 1,040,018.20/1,414.59
  6. Step 6: Final answer
    x = 735.21

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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.