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Finding the Fourth Proportional to 868.52, 1,197.62 and 659.08

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Solution

The fourth proportional to 868.52, 1,197.62 and 659.08 is: 908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.52 : 1,197.62 = 659.08 : x
  2. Step 2: Convert to fraction form
    868.52/1,197.62 = 659.08/x
  3. Step 3: Cross multiply
    868.52x = 1,197.62 × 659.08
  4. Step 4: Simplify right side
    868.52x = 789,327.39
  5. Step 5: Solve for x
    x = 789,327.39/868.52
  6. Step 6: Final answer
    x = 908.82

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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.