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Finding the Fourth Proportional to 978.59, 1,467.89 and 401.06

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Solution

The fourth proportional to 978.59, 1,467.89 and 401.06 is: 601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.59 : 1,467.89 = 401.06 : x
  2. Step 2: Convert to fraction form
    978.59/1,467.89 = 401.06/x
  3. Step 3: Cross multiply
    978.59x = 1,467.89 × 401.06
  4. Step 4: Simplify right side
    978.59x = 588,715.13
  5. Step 5: Solve for x
    x = 588,715.13/978.59
  6. Step 6: Final answer
    x = 601.59

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