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Finding the Fourth Proportional to 978.28, 1,469.68 and 649.42

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Solution

The fourth proportional to 978.28, 1,469.68 and 649.42 is: 975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.28 : 1,469.68 = 649.42 : x
  2. Step 2: Convert to fraction form
    978.28/1,469.68 = 649.42/x
  3. Step 3: Cross multiply
    978.28x = 1,469.68 × 649.42
  4. Step 4: Simplify right side
    978.28x = 954,434.29
  5. Step 5: Solve for x
    x = 954,434.29/978.28
  6. Step 6: Final answer
    x = 975.63

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