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Finding the Fourth Proportional to 1,504.43, 2,255.82 and 464.15

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Solution

The fourth proportional to 1,504.43, 2,255.82 and 464.15 is: 695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.43 : 2,255.82 = 464.15 : x
  2. Step 2: Convert to fraction form
    1,504.43/2,255.82 = 464.15/x
  3. Step 3: Cross multiply
    1,504.43x = 2,255.82 × 464.15
  4. Step 4: Simplify right side
    1,504.43x = 1,047,025.83
  5. Step 5: Solve for x
    x = 1,047,025.83/1,504.43
  6. Step 6: Final answer
    x = 695.96

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