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Finding the Fourth Proportional to 868.67, 1,198.79 and 495.71

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Solution

The fourth proportional to 868.67, 1,198.79 and 495.71 is: 684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.67 : 1,198.79 = 495.71 : x
  2. Step 2: Convert to fraction form
    868.67/1,198.79 = 495.71/x
  3. Step 3: Cross multiply
    868.67x = 1,198.79 × 495.71
  4. Step 4: Simplify right side
    868.67x = 594,252.19
  5. Step 5: Solve for x
    x = 594,252.19/868.67
  6. Step 6: Final answer
    x = 684.09

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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.