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Finding the Fourth Proportional to 978.24, 1,349.96 and 585.35

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Solution

The fourth proportional to 978.24, 1,349.96 and 585.35 is: 807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.24 : 1,349.96 = 585.35 : x
  2. Step 2: Convert to fraction form
    978.24/1,349.96 = 585.35/x
  3. Step 3: Cross multiply
    978.24x = 1,349.96 × 585.35
  4. Step 4: Simplify right side
    978.24x = 790,203.92
  5. Step 5: Solve for x
    x = 790,203.92/978.24
  6. Step 6: Final answer
    x = 807.78

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