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Finding the Fourth Proportional to 1,364.24, 2,044.85 and 584.92

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Solution

The fourth proportional to 1,364.24, 2,044.85 and 584.92 is: 876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.24 : 2,044.85 = 584.92 : x
  2. Step 2: Convert to fraction form
    1,364.24/2,044.85 = 584.92/x
  3. Step 3: Cross multiply
    1,364.24x = 2,044.85 × 584.92
  4. Step 4: Simplify right side
    1,364.24x = 1,196,073.29
  5. Step 5: Solve for x
    x = 1,196,073.29/1,364.24
  6. Step 6: Final answer
    x = 876.73

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