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Finding the Fourth Proportional to 1,323.18, 1,980.87 and 978.05

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Solution

The fourth proportional to 1,323.18, 1,980.87 and 978.05 is: 1,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.18 : 1,980.87 = 978.05 : x
  2. Step 2: Convert to fraction form
    1,323.18/1,980.87 = 978.05/x
  3. Step 3: Cross multiply
    1,323.18x = 1,980.87 × 978.05
  4. Step 4: Simplify right side
    1,323.18x = 1,937,389.90
  5. Step 5: Solve for x
    x = 1,937,389.90/1,323.18
  6. Step 6: Final answer
    x = 1,464.20

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