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Finding the Fourth Proportional to 1,120.73, 1,546.49 and 648.43

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Solution

The fourth proportional to 1,120.73, 1,546.49 and 648.43 is: 894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.73 : 1,546.49 = 648.43 : x
  2. Step 2: Convert to fraction form
    1,120.73/1,546.49 = 648.43/x
  3. Step 3: Cross multiply
    1,120.73x = 1,546.49 × 648.43
  4. Step 4: Simplify right side
    1,120.73x = 1,002,788.27
  5. Step 5: Solve for x
    x = 1,002,788.27/1,120.73
  6. Step 6: Final answer
    x = 894.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.