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Finding the Fourth Proportional to 784.23, 1,176.29 and 393.84

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Solution

The fourth proportional to 784.23, 1,176.29 and 393.84 is: 590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.23 : 1,176.29 = 393.84 : x
  2. Step 2: Convert to fraction form
    784.23/1,176.29 = 393.84/x
  3. Step 3: Cross multiply
    784.23x = 1,176.29 × 393.84
  4. Step 4: Simplify right side
    784.23x = 463,268.08
  5. Step 5: Solve for x
    x = 463,268.08/784.23
  6. Step 6: Final answer
    x = 590.73

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