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Finding the Fourth Proportional to 1,372.38, 2,059.06 and 447.90

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Solution

The fourth proportional to 1,372.38, 2,059.06 and 447.90 is: 672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.38 : 2,059.06 = 447.90 : x
  2. Step 2: Convert to fraction form
    1,372.38/2,059.06 = 447.90/x
  3. Step 3: Cross multiply
    1,372.38x = 2,059.06 × 447.90
  4. Step 4: Simplify right side
    1,372.38x = 922,252.97
  5. Step 5: Solve for x
    x = 922,252.97/1,372.38
  6. Step 6: Final answer
    x = 672.01

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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.