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Finding the Fourth Proportional to 978.28, 1,467.42 and 491.74

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Solution

The fourth proportional to 978.28, 1,467.42 and 491.74 is: 737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.28 : 1,467.42 = 491.74 : x
  2. Step 2: Convert to fraction form
    978.28/1,467.42 = 491.74/x
  3. Step 3: Cross multiply
    978.28x = 1,467.42 × 491.74
  4. Step 4: Simplify right side
    978.28x = 721,589.11
  5. Step 5: Solve for x
    x = 721,589.11/978.28
  6. Step 6: Final answer
    x = 737.61

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