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Finding the Fourth Proportional to 868.80, 1,198.32 and 558

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Solution

The fourth proportional to 868.80, 1,198.32 and 558 is: 769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.80 : 1,198.32 = 558 : x
  2. Step 2: Convert to fraction form
    868.80/1,198.32 = 558/x
  3. Step 3: Cross multiply
    868.80x = 1,198.32 × 558
  4. Step 4: Simplify right side
    868.80x = 668,662.56
  5. Step 5: Solve for x
    x = 668,662.56/868.80
  6. Step 6: Final answer
    x = 769.64

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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.