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Finding the Fourth Proportional to 1,067.77, 1,600.13 and 519.35

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Solution

The fourth proportional to 1,067.77, 1,600.13 and 519.35 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.77 : 1,600.13 = 519.35 : x
  2. Step 2: Convert to fraction form
    1,067.77/1,600.13 = 519.35/x
  3. Step 3: Cross multiply
    1,067.77x = 1,600.13 × 519.35
  4. Step 4: Simplify right side
    1,067.77x = 831,027.52
  5. Step 5: Solve for x
    x = 831,027.52/1,067.77
  6. Step 6: Final answer
    x = 778.28

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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.