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Finding the Fourth Proportional to 1,067.82, 1,600.26 and 546.72

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Solution

The fourth proportional to 1,067.82, 1,600.26 and 546.72 is: 819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.82 : 1,600.26 = 546.72 : x
  2. Step 2: Convert to fraction form
    1,067.82/1,600.26 = 546.72/x
  3. Step 3: Cross multiply
    1,067.82x = 1,600.26 × 546.72
  4. Step 4: Simplify right side
    1,067.82x = 874,894.15
  5. Step 5: Solve for x
    x = 874,894.15/1,067.82
  6. Step 6: Final answer
    x = 819.33

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