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Finding the Fourth Proportional to 842.20, 1,255.87 and 783.78

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Solution

The fourth proportional to 842.20, 1,255.87 and 783.78 is: 1,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.20 : 1,255.87 = 783.78 : x
  2. Step 2: Convert to fraction form
    842.20/1,255.87 = 783.78/x
  3. Step 3: Cross multiply
    842.20x = 1,255.87 × 783.78
  4. Step 4: Simplify right side
    842.20x = 984,322.06
  5. Step 5: Solve for x
    x = 984,322.06/842.20
  6. Step 6: Final answer
    x = 1,168.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.