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Finding the Fourth Proportional to 1,469.49, 2,027.77 and 806.34

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Solution

The fourth proportional to 1,469.49, 2,027.77 and 806.34 is: 1,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.49 : 2,027.77 = 806.34 : x
  2. Step 2: Convert to fraction form
    1,469.49/2,027.77 = 806.34/x
  3. Step 3: Cross multiply
    1,469.49x = 2,027.77 × 806.34
  4. Step 4: Simplify right side
    1,469.49x = 1,635,072.06
  5. Step 5: Solve for x
    x = 1,635,072.06/1,469.49
  6. Step 6: Final answer
    x = 1,112.68

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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.