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Finding the Fourth Proportional to 809.62, 1,212.48 and 443.50

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Solution

The fourth proportional to 809.62, 1,212.48 and 443.50 is: 664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.62 : 1,212.48 = 443.50 : x
  2. Step 2: Convert to fraction form
    809.62/1,212.48 = 443.50/x
  3. Step 3: Cross multiply
    809.62x = 1,212.48 × 443.50
  4. Step 4: Simplify right side
    809.62x = 537,734.88
  5. Step 5: Solve for x
    x = 537,734.88/809.62
  6. Step 6: Final answer
    x = 664.18

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Why These Related Problems?

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