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Finding the Fourth Proportional to 1,633.76, 2,447.38 and 809.54

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Solution

The fourth proportional to 1,633.76, 2,447.38 and 809.54 is: 1,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.76 : 2,447.38 = 809.54 : x
  2. Step 2: Convert to fraction form
    1,633.76/2,447.38 = 809.54/x
  3. Step 3: Cross multiply
    1,633.76x = 2,447.38 × 809.54
  4. Step 4: Simplify right side
    1,633.76x = 1,981,252.01
  5. Step 5: Solve for x
    x = 1,981,252.01/1,633.76
  6. Step 6: Final answer
    x = 1,212.69

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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.