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Finding the Fourth Proportional to 992.44, 1,370.01 and 868.24

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Solution

The fourth proportional to 992.44, 1,370.01 and 868.24 is: 1,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.44 : 1,370.01 = 868.24 : x
  2. Step 2: Convert to fraction form
    992.44/1,370.01 = 868.24/x
  3. Step 3: Cross multiply
    992.44x = 1,370.01 × 868.24
  4. Step 4: Simplify right side
    992.44x = 1,189,497.48
  5. Step 5: Solve for x
    x = 1,189,497.48/992.44
  6. Step 6: Final answer
    x = 1,198.56

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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.