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Finding the Fourth Proportional to 868.09, 1,196.19 and 618.88

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Solution

The fourth proportional to 868.09, 1,196.19 and 618.88 is: 852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.09 : 1,196.19 = 618.88 : x
  2. Step 2: Convert to fraction form
    868.09/1,196.19 = 618.88/x
  3. Step 3: Cross multiply
    868.09x = 1,196.19 × 618.88
  4. Step 4: Simplify right side
    868.09x = 740,288.99
  5. Step 5: Solve for x
    x = 740,288.99/868.09
  6. Step 6: Final answer
    x = 852.78

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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.