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Finding the Fourth Proportional to 1,375.85, 1,899.33 and 871.96

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Solution

The fourth proportional to 1,375.85, 1,899.33 and 871.96 is: 1,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.85 : 1,899.33 = 871.96 : x
  2. Step 2: Convert to fraction form
    1,375.85/1,899.33 = 871.96/x
  3. Step 3: Cross multiply
    1,375.85x = 1,899.33 × 871.96
  4. Step 4: Simplify right side
    1,375.85x = 1,656,130.29
  5. Step 5: Solve for x
    x = 1,656,130.29/1,375.85
  6. Step 6: Final answer
    x = 1,203.71

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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.