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Finding the Fourth Proportional to 1,109.76, 1,661.59 and 799.93

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Solution

The fourth proportional to 1,109.76, 1,661.59 and 799.93 is: 1,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.76 : 1,661.59 = 799.93 : x
  2. Step 2: Convert to fraction form
    1,109.76/1,661.59 = 799.93/x
  3. Step 3: Cross multiply
    1,109.76x = 1,661.59 × 799.93
  4. Step 4: Simplify right side
    1,109.76x = 1,329,155.69
  5. Step 5: Solve for x
    x = 1,329,155.69/1,109.76
  6. Step 6: Final answer
    x = 1,197.70

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