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Finding the Fourth Proportional to 1,067.75, 1,600.98 and 519.38

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Solution

The fourth proportional to 1,067.75, 1,600.98 and 519.38 is: 778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.75 : 1,600.98 = 519.38 : x
  2. Step 2: Convert to fraction form
    1,067.75/1,600.98 = 519.38/x
  3. Step 3: Cross multiply
    1,067.75x = 1,600.98 × 519.38
  4. Step 4: Simplify right side
    1,067.75x = 831,513.04
  5. Step 5: Solve for x
    x = 831,513.04/1,067.75
  6. Step 6: Final answer
    x = 778.75

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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.