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Finding the Fourth Proportional to 1,227.28, 1,692.86 and 729.55

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Solution

The fourth proportional to 1,227.28, 1,692.86 and 729.55 is: 1,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.28 : 1,692.86 = 729.55 : x
  2. Step 2: Convert to fraction form
    1,227.28/1,692.86 = 729.55/x
  3. Step 3: Cross multiply
    1,227.28x = 1,692.86 × 729.55
  4. Step 4: Simplify right side
    1,227.28x = 1,235,018.13
  5. Step 5: Solve for x
    x = 1,235,018.13/1,227.28
  6. Step 6: Final answer
    x = 1,006.31

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