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Finding the Fourth Proportional to 1,013.92, 1,405.72 and 978.28

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Solution

The fourth proportional to 1,013.92, 1,405.72 and 978.28 is: 1,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.92 : 1,405.72 = 978.28 : x
  2. Step 2: Convert to fraction form
    1,013.92/1,405.72 = 978.28/x
  3. Step 3: Cross multiply
    1,013.92x = 1,405.72 × 978.28
  4. Step 4: Simplify right side
    1,013.92x = 1,375,187.76
  5. Step 5: Solve for x
    x = 1,375,187.76/1,013.92
  6. Step 6: Final answer
    x = 1,356.31

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