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Finding the Fourth Proportional to 978.58, 1,349.97 and 585.31

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Solution

The fourth proportional to 978.58, 1,349.97 and 585.31 is: 807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.58 : 1,349.97 = 585.31 : x
  2. Step 2: Convert to fraction form
    978.58/1,349.97 = 585.31/x
  3. Step 3: Cross multiply
    978.58x = 1,349.97 × 585.31
  4. Step 4: Simplify right side
    978.58x = 790,150.94
  5. Step 5: Solve for x
    x = 790,150.94/978.58
  6. Step 6: Final answer
    x = 807.45

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