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Finding the Fourth Proportional to 1,470.74, 2,205.97 and 496.85

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Solution

The fourth proportional to 1,470.74, 2,205.97 and 496.85 is: 745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.74 : 2,205.97 = 496.85 : x
  2. Step 2: Convert to fraction form
    1,470.74/2,205.97 = 496.85/x
  3. Step 3: Cross multiply
    1,470.74x = 2,205.97 × 496.85
  4. Step 4: Simplify right side
    1,470.74x = 1,096,023.92
  5. Step 5: Solve for x
    x = 1,096,023.92/1,470.74
  6. Step 6: Final answer
    x = 745.22

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