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Finding the Fourth Proportional to 806.23, 1,208.23 and 394.75

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Solution

The fourth proportional to 806.23, 1,208.23 and 394.75 is: 591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.23 : 1,208.23 = 394.75 : x
  2. Step 2: Convert to fraction form
    806.23/1,208.23 = 394.75/x
  3. Step 3: Cross multiply
    806.23x = 1,208.23 × 394.75
  4. Step 4: Simplify right side
    806.23x = 476,948.79
  5. Step 5: Solve for x
    x = 476,948.79/806.23
  6. Step 6: Final answer
    x = 591.58

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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.