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Finding the Fourth Proportional to 1,600.73, 2,400.41 and 505.17

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Solution

The fourth proportional to 1,600.73, 2,400.41 and 505.17 is: 757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.73 : 2,400.41 = 505.17 : x
  2. Step 2: Convert to fraction form
    1,600.73/2,400.41 = 505.17/x
  3. Step 3: Cross multiply
    1,600.73x = 2,400.41 × 505.17
  4. Step 4: Simplify right side
    1,600.73x = 1,212,612.59
  5. Step 5: Solve for x
    x = 1,212,612.59/1,600.73
  6. Step 6: Final answer
    x = 757.54

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