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Finding the Fourth Proportional to 1,471.02, 2,203.11 and 729.27

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Solution

The fourth proportional to 1,471.02, 2,203.11 and 729.27 is: 1,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.02 : 2,203.11 = 729.27 : x
  2. Step 2: Convert to fraction form
    1,471.02/2,203.11 = 729.27/x
  3. Step 3: Cross multiply
    1,471.02x = 2,203.11 × 729.27
  4. Step 4: Simplify right side
    1,471.02x = 1,606,662.03
  5. Step 5: Solve for x
    x = 1,606,662.03/1,471.02
  6. Step 6: Final answer
    x = 1,092.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.