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Finding the Fourth Proportional to 808.27, 1,114.68 and 684.19

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Solution

The fourth proportional to 808.27, 1,114.68 and 684.19 is: 943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.27 : 1,114.68 = 684.19 : x
  2. Step 2: Convert to fraction form
    808.27/1,114.68 = 684.19/x
  3. Step 3: Cross multiply
    808.27x = 1,114.68 × 684.19
  4. Step 4: Simplify right side
    808.27x = 762,652.91
  5. Step 5: Solve for x
    x = 762,652.91/808.27
  6. Step 6: Final answer
    x = 943.56

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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.