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Finding the Fourth Proportional to 1,227.22, 1,692.30 and 854.62

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Solution

The fourth proportional to 1,227.22, 1,692.30 and 854.62 is: 1,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.22 : 1,692.30 = 854.62 : x
  2. Step 2: Convert to fraction form
    1,227.22/1,692.30 = 854.62/x
  3. Step 3: Cross multiply
    1,227.22x = 1,692.30 × 854.62
  4. Step 4: Simplify right side
    1,227.22x = 1,446,273.43
  5. Step 5: Solve for x
    x = 1,446,273.43/1,227.22
  6. Step 6: Final answer
    x = 1,178.50

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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.