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Finding the Fourth Proportional to 1,067.21, 1,600.01 and 871.19

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Solution

The fourth proportional to 1,067.21, 1,600.01 and 871.19 is: 1,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.21 : 1,600.01 = 871.19 : x
  2. Step 2: Convert to fraction form
    1,067.21/1,600.01 = 871.19/x
  3. Step 3: Cross multiply
    1,067.21x = 1,600.01 × 871.19
  4. Step 4: Simplify right side
    1,067.21x = 1,393,908.36
  5. Step 5: Solve for x
    x = 1,393,908.36/1,067.21
  6. Step 6: Final answer
    x = 1,306.12

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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.