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Finding the Fourth Proportional to 868.02, 1,198.02 and 573.24

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Solution

The fourth proportional to 868.02, 1,198.02 and 573.24 is: 791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.02 : 1,198.02 = 573.24 : x
  2. Step 2: Convert to fraction form
    868.02/1,198.02 = 573.24/x
  3. Step 3: Cross multiply
    868.02x = 1,198.02 × 573.24
  4. Step 4: Simplify right side
    868.02x = 686,752.98
  5. Step 5: Solve for x
    x = 686,752.98/868.02
  6. Step 6: Final answer
    x = 791.17

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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.