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Finding the Fourth Proportional to 868.14, 1,197.98 and 514.06

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Solution

The fourth proportional to 868.14, 1,197.98 and 514.06 is: 709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.14 : 1,197.98 = 514.06 : x
  2. Step 2: Convert to fraction form
    868.14/1,197.98 = 514.06/x
  3. Step 3: Cross multiply
    868.14x = 1,197.98 × 514.06
  4. Step 4: Simplify right side
    868.14x = 615,833.60
  5. Step 5: Solve for x
    x = 615,833.60/868.14
  6. Step 6: Final answer
    x = 709.37

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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.