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Finding the Fourth Proportional to 1,469.66, 2,028.08 and 806.48

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Solution

The fourth proportional to 1,469.66, 2,028.08 and 806.48 is: 1,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.66 : 2,028.08 = 806.48 : x
  2. Step 2: Convert to fraction form
    1,469.66/2,028.08 = 806.48/x
  3. Step 3: Cross multiply
    1,469.66x = 2,028.08 × 806.48
  4. Step 4: Simplify right side
    1,469.66x = 1,635,605.96
  5. Step 5: Solve for x
    x = 1,635,605.96/1,469.66
  6. Step 6: Final answer
    x = 1,112.91

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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.