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Finding the Fourth Proportional to 868.50, 1,198.26 and 573.93

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Solution

The fourth proportional to 868.50, 1,198.26 and 573.93 is: 791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.50 : 1,198.26 = 573.93 : x
  2. Step 2: Convert to fraction form
    868.50/1,198.26 = 573.93/x
  3. Step 3: Cross multiply
    868.50x = 1,198.26 × 573.93
  4. Step 4: Simplify right side
    868.50x = 687,717.36
  5. Step 5: Solve for x
    x = 687,717.36/868.50
  6. Step 6: Final answer
    x = 791.84

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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.