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Finding the Fourth Proportional to 868.23, 1,196.98 and 680.99

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Solution

The fourth proportional to 868.23, 1,196.98 and 680.99 is: 938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.23 : 1,196.98 = 680.99 : x
  2. Step 2: Convert to fraction form
    868.23/1,196.98 = 680.99/x
  3. Step 3: Cross multiply
    868.23x = 1,196.98 × 680.99
  4. Step 4: Simplify right side
    868.23x = 815,123.72
  5. Step 5: Solve for x
    x = 815,123.72/868.23
  6. Step 6: Final answer
    x = 938.83

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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.