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Finding the Fourth Proportional to 943.59, 1,414.37 and 806.22

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Solution

The fourth proportional to 943.59, 1,414.37 and 806.22 is: 1,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.59 : 1,414.37 = 806.22 : x
  2. Step 2: Convert to fraction form
    943.59/1,414.37 = 806.22/x
  3. Step 3: Cross multiply
    943.59x = 1,414.37 × 806.22
  4. Step 4: Simplify right side
    943.59x = 1,140,289.35
  5. Step 5: Solve for x
    x = 1,140,289.35/943.59
  6. Step 6: Final answer
    x = 1,208.46

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