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Finding the Fourth Proportional to 1,278.81, 1,918.42 and 456.86

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Solution

The fourth proportional to 1,278.81, 1,918.42 and 456.86 is: 685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.81 : 1,918.42 = 456.86 : x
  2. Step 2: Convert to fraction form
    1,278.81/1,918.42 = 456.86/x
  3. Step 3: Cross multiply
    1,278.81x = 1,918.42 × 456.86
  4. Step 4: Simplify right side
    1,278.81x = 876,449.36
  5. Step 5: Solve for x
    x = 876,449.36/1,278.81
  6. Step 6: Final answer
    x = 685.36

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