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Finding the Fourth Proportional to 1,211.97, 1,672.39 and 680.75

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Solution

The fourth proportional to 1,211.97, 1,672.39 and 680.75 is: 939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.97 : 1,672.39 = 680.75 : x
  2. Step 2: Convert to fraction form
    1,211.97/1,672.39 = 680.75/x
  3. Step 3: Cross multiply
    1,211.97x = 1,672.39 × 680.75
  4. Step 4: Simplify right side
    1,211.97x = 1,138,479.49
  5. Step 5: Solve for x
    x = 1,138,479.49/1,211.97
  6. Step 6: Final answer
    x = 939.36

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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.