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Finding the Fourth Proportional to 809.14, 1,212.18 and 443.44

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Solution

The fourth proportional to 809.14, 1,212.18 and 443.44 is: 664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.14 : 1,212.18 = 443.44 : x
  2. Step 2: Convert to fraction form
    809.14/1,212.18 = 443.44/x
  3. Step 3: Cross multiply
    809.14x = 1,212.18 × 443.44
  4. Step 4: Simplify right side
    809.14x = 537,529.10
  5. Step 5: Solve for x
    x = 537,529.10/809.14
  6. Step 6: Final answer
    x = 664.32

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1.5x scale

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.