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Finding the Fourth Proportional to 1,325.90, 1,984.16 and 978.42

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Solution

The fourth proportional to 1,325.90, 1,984.16 and 978.42 is: 1,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.90 : 1,984.16 = 978.42 : x
  2. Step 2: Convert to fraction form
    1,325.90/1,984.16 = 978.42/x
  3. Step 3: Cross multiply
    1,325.90x = 1,984.16 × 978.42
  4. Step 4: Simplify right side
    1,325.90x = 1,941,341.83
  5. Step 5: Solve for x
    x = 1,941,341.83/1,325.90
  6. Step 6: Final answer
    x = 1,464.17

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