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Finding the Fourth Proportional to 1,227.30, 1,692.33 and 833.64

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Solution

The fourth proportional to 1,227.30, 1,692.33 and 833.64 is: 1,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.30 : 1,692.33 = 833.64 : x
  2. Step 2: Convert to fraction form
    1,227.30/1,692.33 = 833.64/x
  3. Step 3: Cross multiply
    1,227.30x = 1,692.33 × 833.64
  4. Step 4: Simplify right side
    1,227.30x = 1,410,793.98
  5. Step 5: Solve for x
    x = 1,410,793.98/1,227.30
  6. Step 6: Final answer
    x = 1,149.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.