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Finding the Fourth Proportional to 1,067.76, 1,600.86 and 720.23

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Solution

The fourth proportional to 1,067.76, 1,600.86 and 720.23 is: 1,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.76 : 1,600.86 = 720.23 : x
  2. Step 2: Convert to fraction form
    1,067.76/1,600.86 = 720.23/x
  3. Step 3: Cross multiply
    1,067.76x = 1,600.86 × 720.23
  4. Step 4: Simplify right side
    1,067.76x = 1,152,979.39
  5. Step 5: Solve for x
    x = 1,152,979.39/1,067.76
  6. Step 6: Final answer
    x = 1,079.81

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