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Finding the Fourth Proportional to 1,469.44, 2,027.90 and 806.29

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Solution

The fourth proportional to 1,469.44, 2,027.90 and 806.29 is: 1,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.44 : 2,027.90 = 806.29 : x
  2. Step 2: Convert to fraction form
    1,469.44/2,027.90 = 806.29/x
  3. Step 3: Cross multiply
    1,469.44x = 2,027.90 × 806.29
  4. Step 4: Simplify right side
    1,469.44x = 1,635,072.44
  5. Step 5: Solve for x
    x = 1,635,072.44/1,469.44
  6. Step 6: Final answer
    x = 1,112.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.