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Finding the Fourth Proportional to 871.80, 1,310.40 and 855.60

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Solution

The fourth proportional to 871.80, 1,310.40 and 855.60 is: 1,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.80 : 1,310.40 = 855.60 : x
  2. Step 2: Convert to fraction form
    871.80/1,310.40 = 855.60/x
  3. Step 3: Cross multiply
    871.80x = 1,310.40 × 855.60
  4. Step 4: Simplify right side
    871.80x = 1,121,178.24
  5. Step 5: Solve for x
    x = 1,121,178.24/871.80
  6. Step 6: Final answer
    x = 1,286.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.