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Finding the Fourth Proportional to 978.24, 1,459.22 and 884.82

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Solution

The fourth proportional to 978.24, 1,459.22 and 884.82 is: 1,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.24 : 1,459.22 = 884.82 : x
  2. Step 2: Convert to fraction form
    978.24/1,459.22 = 884.82/x
  3. Step 3: Cross multiply
    978.24x = 1,459.22 × 884.82
  4. Step 4: Simplify right side
    978.24x = 1,291,148.09
  5. Step 5: Solve for x
    x = 1,291,148.09/978.24
  6. Step 6: Final answer
    x = 1,319.86

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