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Finding the Fourth Proportional to 806, 1,209.54 and 395.06

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Solution

The fourth proportional to 806, 1,209.54 and 395.06 is: 592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    806 : 1,209.54 = 395.06 : x
  2. Step 2: Convert to fraction form
    806/1,209.54 = 395.06/x
  3. Step 3: Cross multiply
    806x = 1,209.54 × 395.06
  4. Step 4: Simplify right side
    806x = 477,840.87
  5. Step 5: Solve for x
    x = 477,840.87/806
  6. Step 6: Final answer
    x = 592.85

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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.