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Finding the Fourth Proportional to 1,288.96, 1,934.13 and 982.78

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Solution

The fourth proportional to 1,288.96, 1,934.13 and 982.78 is: 1,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.96 : 1,934.13 = 982.78 : x
  2. Step 2: Convert to fraction form
    1,288.96/1,934.13 = 982.78/x
  3. Step 3: Cross multiply
    1,288.96x = 1,934.13 × 982.78
  4. Step 4: Simplify right side
    1,288.96x = 1,900,828.48
  5. Step 5: Solve for x
    x = 1,900,828.48/1,288.96
  6. Step 6: Final answer
    x = 1,474.70

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