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Finding the Fourth Proportional to 1,300.86, 1,948.05 and 812.43

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Solution

The fourth proportional to 1,300.86, 1,948.05 and 812.43 is: 1,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.86 : 1,948.05 = 812.43 : x
  2. Step 2: Convert to fraction form
    1,300.86/1,948.05 = 812.43/x
  3. Step 3: Cross multiply
    1,300.86x = 1,948.05 × 812.43
  4. Step 4: Simplify right side
    1,300.86x = 1,582,654.26
  5. Step 5: Solve for x
    x = 1,582,654.26/1,300.86
  6. Step 6: Final answer
    x = 1,216.62

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