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Finding the Fourth Proportional to 746.81, 1,120.21 and 259.85

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Solution

The fourth proportional to 746.81, 1,120.21 and 259.85 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.81 : 1,120.21 = 259.85 : x
  2. Step 2: Convert to fraction form
    746.81/1,120.21 = 259.85/x
  3. Step 3: Cross multiply
    746.81x = 1,120.21 × 259.85
  4. Step 4: Simplify right side
    746.81x = 291,086.57
  5. Step 5: Solve for x
    x = 291,086.57/746.81
  6. Step 6: Final answer
    x = 389.77

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