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Finding the Fourth Proportional to 868.23, 1,198.77 and 537.09

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Solution

The fourth proportional to 868.23, 1,198.77 and 537.09 is: 741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.23 : 1,198.77 = 537.09 : x
  2. Step 2: Convert to fraction form
    868.23/1,198.77 = 537.09/x
  3. Step 3: Cross multiply
    868.23x = 1,198.77 × 537.09
  4. Step 4: Simplify right side
    868.23x = 643,847.38
  5. Step 5: Solve for x
    x = 643,847.38/868.23
  6. Step 6: Final answer
    x = 741.56

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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.