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Finding the Fourth Proportional to 978.12, 1,349.46 and 599.88

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Solution

The fourth proportional to 978.12, 1,349.46 and 599.88 is: 827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.12 : 1,349.46 = 599.88 : x
  2. Step 2: Convert to fraction form
    978.12/1,349.46 = 599.88/x
  3. Step 3: Cross multiply
    978.12x = 1,349.46 × 599.88
  4. Step 4: Simplify right side
    978.12x = 809,514.06
  5. Step 5: Solve for x
    x = 809,514.06/978.12
  6. Step 6: Final answer
    x = 827.62

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