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Finding the Fourth Proportional to 866.82, 1,194.48 and 617.70

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Solution

The fourth proportional to 866.82, 1,194.48 and 617.70 is: 851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.82 : 1,194.48 = 617.70 : x
  2. Step 2: Convert to fraction form
    866.82/1,194.48 = 617.70/x
  3. Step 3: Cross multiply
    866.82x = 1,194.48 × 617.70
  4. Step 4: Simplify right side
    866.82x = 737,830.30
  5. Step 5: Solve for x
    x = 737,830.30/866.82
  6. Step 6: Final answer
    x = 851.19

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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.