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Finding the Fourth Proportional to 1,304.06, 1,799.39 and 861.73

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Solution

The fourth proportional to 1,304.06, 1,799.39 and 861.73 is: 1,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.06 : 1,799.39 = 861.73 : x
  2. Step 2: Convert to fraction form
    1,304.06/1,799.39 = 861.73/x
  3. Step 3: Cross multiply
    1,304.06x = 1,799.39 × 861.73
  4. Step 4: Simplify right side
    1,304.06x = 1,550,579.54
  5. Step 5: Solve for x
    x = 1,550,579.54/1,304.06
  6. Step 6: Final answer
    x = 1,189.04

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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.