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Finding the Fourth Proportional to 809.35, 1,117.43 and 622.49

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Solution

The fourth proportional to 809.35, 1,117.43 and 622.49 is: 859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.35 : 1,117.43 = 622.49 : x
  2. Step 2: Convert to fraction form
    809.35/1,117.43 = 622.49/x
  3. Step 3: Cross multiply
    809.35x = 1,117.43 × 622.49
  4. Step 4: Simplify right side
    809.35x = 695,589.00
  5. Step 5: Solve for x
    x = 695,589.00/809.35
  6. Step 6: Final answer
    x = 859.44

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