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Finding the Fourth Proportional to 1,067.83, 1,601.84 and 287.95

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Solution

The fourth proportional to 1,067.83, 1,601.84 and 287.95 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.83 : 1,601.84 = 287.95 : x
  2. Step 2: Convert to fraction form
    1,067.83/1,601.84 = 287.95/x
  3. Step 3: Cross multiply
    1,067.83x = 1,601.84 × 287.95
  4. Step 4: Simplify right side
    1,067.83x = 461,249.83
  5. Step 5: Solve for x
    x = 461,249.83/1,067.83
  6. Step 6: Final answer
    x = 431.95

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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.