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Finding the Fourth Proportional to 859.68, 1,194.72 and 850.80

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Solution

The fourth proportional to 859.68, 1,194.72 and 850.80 is: 1,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.68 : 1,194.72 = 850.80 : x
  2. Step 2: Convert to fraction form
    859.68/1,194.72 = 850.80/x
  3. Step 3: Cross multiply
    859.68x = 1,194.72 × 850.80
  4. Step 4: Simplify right side
    859.68x = 1,016,467.78
  5. Step 5: Solve for x
    x = 1,016,467.78/859.68
  6. Step 6: Final answer
    x = 1,182.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.