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Finding the Fourth Proportional to 784.97, 1,177.80 and 298.16

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Solution

The fourth proportional to 784.97, 1,177.80 and 298.16 is: 447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.97 : 1,177.80 = 298.16 : x
  2. Step 2: Convert to fraction form
    784.97/1,177.80 = 298.16/x
  3. Step 3: Cross multiply
    784.97x = 1,177.80 × 298.16
  4. Step 4: Simplify right side
    784.97x = 351,175.79
  5. Step 5: Solve for x
    x = 351,175.79/784.97
  6. Step 6: Final answer
    x = 447.37

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