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Finding the Fourth Proportional to 809.20, 1,115.56 and 672.40

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Solution

The fourth proportional to 809.20, 1,115.56 and 672.40 is: 926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.20 : 1,115.56 = 672.40 : x
  2. Step 2: Convert to fraction form
    809.20/1,115.56 = 672.40/x
  3. Step 3: Cross multiply
    809.20x = 1,115.56 × 672.40
  4. Step 4: Simplify right side
    809.20x = 750,102.54
  5. Step 5: Solve for x
    x = 750,102.54/809.20
  6. Step 6: Final answer
    x = 926.97

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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.