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Finding the Fourth Proportional to 868, 1,197.84 and 500

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Solution

The fourth proportional to 868, 1,197.84 and 500 is: 690

Step by Step Solution

  1. Step 1: Write the proportion equation
    868 : 1,197.84 = 500 : x
  2. Step 2: Convert to fraction form
    868/1,197.84 = 500/x
  3. Step 3: Cross multiply
    868x = 1,197.84 × 500
  4. Step 4: Simplify right side
    868x = 598,920
  5. Step 5: Solve for x
    x = 598,920/868
  6. Step 6: Final answer
    x = 690

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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.