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Finding the Fourth Proportional to 1,469.41, 2,027.67 and 806.26

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Solution

The fourth proportional to 1,469.41, 2,027.67 and 806.26 is: 1,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.41 : 2,027.67 = 806.26 : x
  2. Step 2: Convert to fraction form
    1,469.41/2,027.67 = 806.26/x
  3. Step 3: Cross multiply
    1,469.41x = 2,027.67 × 806.26
  4. Step 4: Simplify right side
    1,469.41x = 1,634,829.21
  5. Step 5: Solve for x
    x = 1,634,829.21/1,469.41
  6. Step 6: Final answer
    x = 1,112.58

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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.