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Finding the Fourth Proportional to 1,067.26, 1,600.89 and 336.90

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Solution

The fourth proportional to 1,067.26, 1,600.89 and 336.90 is: 505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.26 : 1,600.89 = 336.90 : x
  2. Step 2: Convert to fraction form
    1,067.26/1,600.89 = 336.90/x
  3. Step 3: Cross multiply
    1,067.26x = 1,600.89 × 336.90
  4. Step 4: Simplify right side
    1,067.26x = 539,332.57
  5. Step 5: Solve for x
    x = 539,332.57/1,067.26
  6. Step 6: Final answer
    x = 505.34

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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.