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Finding the Fourth Proportional to 1,301.86, 1,949.55 and 813.43

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Solution

The fourth proportional to 1,301.86, 1,949.55 and 813.43 is: 1,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.86 : 1,949.55 = 813.43 : x
  2. Step 2: Convert to fraction form
    1,301.86/1,949.55 = 813.43/x
  3. Step 3: Cross multiply
    1,301.86x = 1,949.55 × 813.43
  4. Step 4: Simplify right side
    1,301.86x = 1,585,822.46
  5. Step 5: Solve for x
    x = 1,585,822.46/1,301.86
  6. Step 6: Final answer
    x = 1,218.12

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