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Finding the Fourth Proportional to 978.20, 1,470.04 and 803.24

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Solution

The fourth proportional to 978.20, 1,470.04 and 803.24 is: 1,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.20 : 1,470.04 = 803.24 : x
  2. Step 2: Convert to fraction form
    978.20/1,470.04 = 803.24/x
  3. Step 3: Cross multiply
    978.20x = 1,470.04 × 803.24
  4. Step 4: Simplify right side
    978.20x = 1,180,791.08
  5. Step 5: Solve for x
    x = 1,180,791.08/978.20
  6. Step 6: Final answer
    x = 1,207.11

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