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Finding the Fourth Proportional to 809.69, 1,212.66 and 484.34

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Solution

The fourth proportional to 809.69, 1,212.66 and 484.34 is: 725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.69 : 1,212.66 = 484.34 : x
  2. Step 2: Convert to fraction form
    809.69/1,212.66 = 484.34/x
  3. Step 3: Cross multiply
    809.69x = 1,212.66 × 484.34
  4. Step 4: Simplify right side
    809.69x = 587,333.68
  5. Step 5: Solve for x
    x = 587,333.68/809.69
  6. Step 6: Final answer
    x = 725.39

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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.