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Finding the Fourth Proportional to 1,451.73, 2,003.44 and 822.28

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Solution

The fourth proportional to 1,451.73, 2,003.44 and 822.28 is: 1,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.73 : 2,003.44 = 822.28 : x
  2. Step 2: Convert to fraction form
    1,451.73/2,003.44 = 822.28/x
  3. Step 3: Cross multiply
    1,451.73x = 2,003.44 × 822.28
  4. Step 4: Simplify right side
    1,451.73x = 1,647,391.60
  5. Step 5: Solve for x
    x = 1,647,391.60/1,451.73
  6. Step 6: Final answer
    x = 1,134.78

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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.