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Finding the Fourth Proportional to 1,280.00, 1,919.79 and 585.92

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Solution

The fourth proportional to 1,280.00, 1,919.79 and 585.92 is: 878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.00 : 1,919.79 = 585.92 : x
  2. Step 2: Convert to fraction form
    1,280.00/1,919.79 = 585.92/x
  3. Step 3: Cross multiply
    1,280.00x = 1,919.79 × 585.92
  4. Step 4: Simplify right side
    1,280.00x = 1,124,833.76
  5. Step 5: Solve for x
    x = 1,124,833.76/1,280.00
  6. Step 6: Final answer
    x = 878.78

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