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Finding the Fourth Proportional to 805.97, 1,209.07 and 228.83

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Solution

The fourth proportional to 805.97, 1,209.07 and 228.83 is: 343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.97 : 1,209.07 = 228.83 : x
  2. Step 2: Convert to fraction form
    805.97/1,209.07 = 228.83/x
  3. Step 3: Cross multiply
    805.97x = 1,209.07 × 228.83
  4. Step 4: Simplify right side
    805.97x = 276,664.87
  5. Step 5: Solve for x
    x = 276,664.87/805.97
  6. Step 6: Final answer
    x = 343.27

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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.