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Finding the Fourth Proportional to 1,163.23, 1,604.06 and 809.56

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Solution

The fourth proportional to 1,163.23, 1,604.06 and 809.56 is: 1,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.23 : 1,604.06 = 809.56 : x
  2. Step 2: Convert to fraction form
    1,163.23/1,604.06 = 809.56/x
  3. Step 3: Cross multiply
    1,163.23x = 1,604.06 × 809.56
  4. Step 4: Simplify right side
    1,163.23x = 1,298,582.81
  5. Step 5: Solve for x
    x = 1,298,582.81/1,163.23
  6. Step 6: Final answer
    x = 1,116.36

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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.