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Finding the Fourth Proportional to 1,016.80, 1,523.52 and 978.38

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Solution

The fourth proportional to 1,016.80, 1,523.52 and 978.38 is: 1,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.80 : 1,523.52 = 978.38 : x
  2. Step 2: Convert to fraction form
    1,016.80/1,523.52 = 978.38/x
  3. Step 3: Cross multiply
    1,016.80x = 1,523.52 × 978.38
  4. Step 4: Simplify right side
    1,016.80x = 1,490,579.59
  5. Step 5: Solve for x
    x = 1,490,579.59/1,016.80
  6. Step 6: Final answer
    x = 1,465.96

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