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Finding the Fourth Proportional to 1,067.20, 1,601.70 and 519.85

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Solution

The fourth proportional to 1,067.20, 1,601.70 and 519.85 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.20 : 1,601.70 = 519.85 : x
  2. Step 2: Convert to fraction form
    1,067.20/1,601.70 = 519.85/x
  3. Step 3: Cross multiply
    1,067.20x = 1,601.70 × 519.85
  4. Step 4: Simplify right side
    1,067.20x = 832,643.75
  5. Step 5: Solve for x
    x = 832,643.75/1,067.20
  6. Step 6: Final answer
    x = 780.21

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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.