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Finding the Fourth Proportional to 868.18, 1,198.08 and 495.16

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Solution

The fourth proportional to 868.18, 1,198.08 and 495.16 is: 683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.18 : 1,198.08 = 495.16 : x
  2. Step 2: Convert to fraction form
    868.18/1,198.08 = 495.16/x
  3. Step 3: Cross multiply
    868.18x = 1,198.08 × 495.16
  4. Step 4: Simplify right side
    868.18x = 593,241.29
  5. Step 5: Solve for x
    x = 593,241.29/868.18
  6. Step 6: Final answer
    x = 683.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.