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Finding the Fourth Proportional to 1,227.03, 1,692.73 and 927.73

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Solution

The fourth proportional to 1,227.03, 1,692.73 and 927.73 is: 1,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.03 : 1,692.73 = 927.73 : x
  2. Step 2: Convert to fraction form
    1,227.03/1,692.73 = 927.73/x
  3. Step 3: Cross multiply
    1,227.03x = 1,692.73 × 927.73
  4. Step 4: Simplify right side
    1,227.03x = 1,570,396.40
  5. Step 5: Solve for x
    x = 1,570,396.40/1,227.03
  6. Step 6: Final answer
    x = 1,279.84

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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.