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Finding the Fourth Proportional to 868.26, 1,198.62 and 604.00

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Solution

The fourth proportional to 868.26, 1,198.62 and 604.00 is: 833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.26 : 1,198.62 = 604.00 : x
  2. Step 2: Convert to fraction form
    868.26/1,198.62 = 604.00/x
  3. Step 3: Cross multiply
    868.26x = 1,198.62 × 604.00
  4. Step 4: Simplify right side
    868.26x = 723,963.48
  5. Step 5: Solve for x
    x = 723,963.48/868.26
  6. Step 6: Final answer
    x = 833.81

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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.