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Finding the Fourth Proportional to 1,196.64, 1,795.57 and 1,106.44

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Solution

The fourth proportional to 1,196.64, 1,795.57 and 1,106.44 is: 1,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.64 : 1,795.57 = 1,106.44 : x
  2. Step 2: Convert to fraction form
    1,196.64/1,795.57 = 1,106.44/x
  3. Step 3: Cross multiply
    1,196.64x = 1,795.57 × 1,106.44
  4. Step 4: Simplify right side
    1,196.64x = 1,986,683.22
  5. Step 5: Solve for x
    x = 1,986,683.22/1,196.64
  6. Step 6: Final answer
    x = 1,660.22

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