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Finding the Fourth Proportional to 868.25, 1,198.33 and 495.25

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Solution

The fourth proportional to 868.25, 1,198.33 and 495.25 is: 683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.25 : 1,198.33 = 495.25 : x
  2. Step 2: Convert to fraction form
    868.25/1,198.33 = 495.25/x
  3. Step 3: Cross multiply
    868.25x = 1,198.33 × 495.25
  4. Step 4: Simplify right side
    868.25x = 593,468.70
  5. Step 5: Solve for x
    x = 593,468.70/868.25
  6. Step 6: Final answer
    x = 683.52

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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.