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Finding the Fourth Proportional to 978.81, 1,469.12 and 459.12

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Solution

The fourth proportional to 978.81, 1,469.12 and 459.12 is: 689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.81 : 1,469.12 = 459.12 : x
  2. Step 2: Convert to fraction form
    978.81/1,469.12 = 459.12/x
  3. Step 3: Cross multiply
    978.81x = 1,469.12 × 459.12
  4. Step 4: Simplify right side
    978.81x = 674,500.08
  5. Step 5: Solve for x
    x = 674,500.08/978.81
  6. Step 6: Final answer
    x = 689.10

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