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Finding the Fourth Proportional to 778.04, 1,166.78 and 257.95

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Solution

The fourth proportional to 778.04, 1,166.78 and 257.95 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.04 : 1,166.78 = 257.95 : x
  2. Step 2: Convert to fraction form
    778.04/1,166.78 = 257.95/x
  3. Step 3: Cross multiply
    778.04x = 1,166.78 × 257.95
  4. Step 4: Simplify right side
    778.04x = 300,970.90
  5. Step 5: Solve for x
    x = 300,970.90/778.04
  6. Step 6: Final answer
    x = 386.83

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