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Finding the Fourth Proportional to 1,287.83, 1,930.12 and 978.75

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Solution

The fourth proportional to 1,287.83, 1,930.12 and 978.75 is: 1,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.83 : 1,930.12 = 978.75 : x
  2. Step 2: Convert to fraction form
    1,287.83/1,930.12 = 978.75/x
  3. Step 3: Cross multiply
    1,287.83x = 1,930.12 × 978.75
  4. Step 4: Simplify right side
    1,287.83x = 1,889,104.95
  5. Step 5: Solve for x
    x = 1,889,104.95/1,287.83
  6. Step 6: Final answer
    x = 1,466.89

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