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Finding the Fourth Proportional to 806.13, 1,209.06 and 229.05

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Solution

The fourth proportional to 806.13, 1,209.06 and 229.05 is: 343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.13 : 1,209.06 = 229.05 : x
  2. Step 2: Convert to fraction form
    806.13/1,209.06 = 229.05/x
  3. Step 3: Cross multiply
    806.13x = 1,209.06 × 229.05
  4. Step 4: Simplify right side
    806.13x = 276,935.19
  5. Step 5: Solve for x
    x = 276,935.19/806.13
  6. Step 6: Final answer
    x = 343.54

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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.