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Finding the Fourth Proportional to 809.57, 1,117.74 and 622.73

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Solution

The fourth proportional to 809.57, 1,117.74 and 622.73 is: 859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.57 : 1,117.74 = 622.73 : x
  2. Step 2: Convert to fraction form
    809.57/1,117.74 = 622.73/x
  3. Step 3: Cross multiply
    809.57x = 1,117.74 × 622.73
  4. Step 4: Simplify right side
    809.57x = 696,053.02
  5. Step 5: Solve for x
    x = 696,053.02/809.57
  6. Step 6: Final answer
    x = 859.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.