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Finding the Fourth Proportional to 1,469.55, 2,028.03 and 806.43

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Solution

The fourth proportional to 1,469.55, 2,028.03 and 806.43 is: 1,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.55 : 2,028.03 = 806.43 : x
  2. Step 2: Convert to fraction form
    1,469.55/2,028.03 = 806.43/x
  3. Step 3: Cross multiply
    1,469.55x = 2,028.03 × 806.43
  4. Step 4: Simplify right side
    1,469.55x = 1,635,464.23
  5. Step 5: Solve for x
    x = 1,635,464.23/1,469.55
  6. Step 6: Final answer
    x = 1,112.90

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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.