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Finding the Fourth Proportional to 1,309.28, 1,963.95 and 431.78

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Solution

The fourth proportional to 1,309.28, 1,963.95 and 431.78 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.28 : 1,963.95 = 431.78 : x
  2. Step 2: Convert to fraction form
    1,309.28/1,963.95 = 431.78/x
  3. Step 3: Cross multiply
    1,309.28x = 1,963.95 × 431.78
  4. Step 4: Simplify right side
    1,309.28x = 847,982.89
  5. Step 5: Solve for x
    x = 847,982.89/1,309.28
  6. Step 6: Final answer
    x = 647.67

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