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Finding the Fourth Proportional to 1,364.56, 2,047.38 and 498.94

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Solution

The fourth proportional to 1,364.56, 2,047.38 and 498.94 is: 748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.56 : 2,047.38 = 498.94 : x
  2. Step 2: Convert to fraction form
    1,364.56/2,047.38 = 498.94/x
  3. Step 3: Cross multiply
    1,364.56x = 2,047.38 × 498.94
  4. Step 4: Simplify right side
    1,364.56x = 1,021,519.78
  5. Step 5: Solve for x
    x = 1,021,519.78/1,364.56
  6. Step 6: Final answer
    x = 748.61

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