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Finding the Fourth Proportional to 1,453.11, 2,004.63 and 863.31

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Solution

The fourth proportional to 1,453.11, 2,004.63 and 863.31 is: 1,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.11 : 2,004.63 = 863.31 : x
  2. Step 2: Convert to fraction form
    1,453.11/2,004.63 = 863.31/x
  3. Step 3: Cross multiply
    1,453.11x = 2,004.63 × 863.31
  4. Step 4: Simplify right side
    1,453.11x = 1,730,617.13
  5. Step 5: Solve for x
    x = 1,730,617.13/1,453.11
  6. Step 6: Final answer
    x = 1,190.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.