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Finding the Fourth Proportional to 868.29, 1,198.42 and 495.24

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Solution

The fourth proportional to 868.29, 1,198.42 and 495.24 is: 683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.29 : 1,198.42 = 495.24 : x
  2. Step 2: Convert to fraction form
    868.29/1,198.42 = 495.24/x
  3. Step 3: Cross multiply
    868.29x = 1,198.42 × 495.24
  4. Step 4: Simplify right side
    868.29x = 593,500.67
  5. Step 5: Solve for x
    x = 593,500.67/868.29
  6. Step 6: Final answer
    x = 683.53

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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.