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Finding the Fourth Proportional to 1,253.53, 1,880.97 and 523.61

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Solution

The fourth proportional to 1,253.53, 1,880.97 and 523.61 is: 785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.53 : 1,880.97 = 523.61 : x
  2. Step 2: Convert to fraction form
    1,253.53/1,880.97 = 523.61/x
  3. Step 3: Cross multiply
    1,253.53x = 1,880.97 × 523.61
  4. Step 4: Simplify right side
    1,253.53x = 984,894.70
  5. Step 5: Solve for x
    x = 984,894.70/1,253.53
  6. Step 6: Final answer
    x = 785.70

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