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Finding the Fourth Proportional to 1,414.76, 2,122.61 and 490.55

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Solution

The fourth proportional to 1,414.76, 2,122.61 and 490.55 is: 735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.76 : 2,122.61 = 490.55 : x
  2. Step 2: Convert to fraction form
    1,414.76/2,122.61 = 490.55/x
  3. Step 3: Cross multiply
    1,414.76x = 2,122.61 × 490.55
  4. Step 4: Simplify right side
    1,414.76x = 1,041,233.27
  5. Step 5: Solve for x
    x = 1,041,233.27/1,414.76
  6. Step 6: Final answer
    x = 735.98

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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.