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Finding the Fourth Proportional to 806.05, 1,209.08 and 372.97

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Solution

The fourth proportional to 806.05, 1,209.08 and 372.97 is: 559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.05 : 1,209.08 = 372.97 : x
  2. Step 2: Convert to fraction form
    806.05/1,209.08 = 372.97/x
  3. Step 3: Cross multiply
    806.05x = 1,209.08 × 372.97
  4. Step 4: Simplify right side
    806.05x = 450,948.70
  5. Step 5: Solve for x
    x = 450,948.70/806.05
  6. Step 6: Final answer
    x = 559.46

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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.