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Finding the Fourth Proportional to 1,067.44, 1,601.32 and 336.88

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Solution

The fourth proportional to 1,067.44, 1,601.32 and 336.88 is: 505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.44 : 1,601.32 = 336.88 : x
  2. Step 2: Convert to fraction form
    1,067.44/1,601.32 = 336.88/x
  3. Step 3: Cross multiply
    1,067.44x = 1,601.32 × 336.88
  4. Step 4: Simplify right side
    1,067.44x = 539,452.68
  5. Step 5: Solve for x
    x = 539,452.68/1,067.44
  6. Step 6: Final answer
    x = 505.37

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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.