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Finding the Fourth Proportional to 806, 1,209 and 293.12

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Solution

The fourth proportional to 806, 1,209 and 293.12 is: 439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    806 : 1,209 = 293.12 : x
  2. Step 2: Convert to fraction form
    806/1,209 = 293.12/x
  3. Step 3: Cross multiply
    806x = 1,209 × 293.12
  4. Step 4: Simplify right side
    806x = 354,382.08
  5. Step 5: Solve for x
    x = 354,382.08/806
  6. Step 6: Final answer
    x = 439.68

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Why These Related Problems?

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