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Finding the Fourth Proportional to 786.83, 1,180.10 and 299.82

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Solution

The fourth proportional to 786.83, 1,180.10 and 299.82 is: 449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.83 : 1,180.10 = 299.82 : x
  2. Step 2: Convert to fraction form
    786.83/1,180.10 = 299.82/x
  3. Step 3: Cross multiply
    786.83x = 1,180.10 × 299.82
  4. Step 4: Simplify right side
    786.83x = 353,816.08
  5. Step 5: Solve for x
    x = 353,816.08/786.83
  6. Step 6: Final answer
    x = 449.68

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