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Finding the Fourth Proportional to 868.14, 1,197.72 and 513.98

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Solution

The fourth proportional to 868.14, 1,197.72 and 513.98 is: 709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.14 : 1,197.72 = 513.98 : x
  2. Step 2: Convert to fraction form
    868.14/1,197.72 = 513.98/x
  3. Step 3: Cross multiply
    868.14x = 1,197.72 × 513.98
  4. Step 4: Simplify right side
    868.14x = 615,604.13
  5. Step 5: Solve for x
    x = 615,604.13/868.14
  6. Step 6: Final answer
    x = 709.11

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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.