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Finding the Fourth Proportional to 871.98, 1,196.03 and 825

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Solution

The fourth proportional to 871.98, 1,196.03 and 825 is: 1,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.98 : 1,196.03 = 825 : x
  2. Step 2: Convert to fraction form
    871.98/1,196.03 = 825/x
  3. Step 3: Cross multiply
    871.98x = 1,196.03 × 825
  4. Step 4: Simplify right side
    871.98x = 986,723.72
  5. Step 5: Solve for x
    x = 986,723.72/871.98
  6. Step 6: Final answer
    x = 1,131.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.