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Finding the Fourth Proportional to 868.68, 1,199.84 and 633.38

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Solution

The fourth proportional to 868.68, 1,199.84 and 633.38 is: 874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.68 : 1,199.84 = 633.38 : x
  2. Step 2: Convert to fraction form
    868.68/1,199.84 = 633.38/x
  3. Step 3: Cross multiply
    868.68x = 1,199.84 × 633.38
  4. Step 4: Simplify right side
    868.68x = 759,945.49
  5. Step 5: Solve for x
    x = 759,945.49/868.68
  6. Step 6: Final answer
    x = 874.83

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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.