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Finding the Fourth Proportional to 1,109.14, 1,662.67 and 560.71

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Solution

The fourth proportional to 1,109.14, 1,662.67 and 560.71 is: 840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.14 : 1,662.67 = 560.71 : x
  2. Step 2: Convert to fraction form
    1,109.14/1,662.67 = 560.71/x
  3. Step 3: Cross multiply
    1,109.14x = 1,662.67 × 560.71
  4. Step 4: Simplify right side
    1,109.14x = 932,275.70
  5. Step 5: Solve for x
    x = 932,275.70/1,109.14
  6. Step 6: Final answer
    x = 840.54

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