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Finding the Fourth Proportional to 1,030.82, 1,422.24 and 809.09

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Solution

The fourth proportional to 1,030.82, 1,422.24 and 809.09 is: 1,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.82 : 1,422.24 = 809.09 : x
  2. Step 2: Convert to fraction form
    1,030.82/1,422.24 = 809.09/x
  3. Step 3: Cross multiply
    1,030.82x = 1,422.24 × 809.09
  4. Step 4: Simplify right side
    1,030.82x = 1,150,713.05
  5. Step 5: Solve for x
    x = 1,150,713.05/1,030.82
  6. Step 6: Final answer
    x = 1,116.31

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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.