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Finding the Fourth Proportional to 868.05, 1,197.27 and 573.75

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Solution

The fourth proportional to 868.05, 1,197.27 and 573.75 is: 791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.05 : 1,197.27 = 573.75 : x
  2. Step 2: Convert to fraction form
    868.05/1,197.27 = 573.75/x
  3. Step 3: Cross multiply
    868.05x = 1,197.27 × 573.75
  4. Step 4: Simplify right side
    868.05x = 686,933.66
  5. Step 5: Solve for x
    x = 686,933.66/868.05
  6. Step 6: Final answer
    x = 791.35

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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.