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Finding the Fourth Proportional to 1,067.20, 1,600.96 and 336.71

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Solution

The fourth proportional to 1,067.20, 1,600.96 and 336.71 is: 505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.20 : 1,600.96 = 336.71 : x
  2. Step 2: Convert to fraction form
    1,067.20/1,600.96 = 336.71/x
  3. Step 3: Cross multiply
    1,067.20x = 1,600.96 × 336.71
  4. Step 4: Simplify right side
    1,067.20x = 539,059.24
  5. Step 5: Solve for x
    x = 539,059.24/1,067.20
  6. Step 6: Final answer
    x = 505.12

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