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Finding the Fourth Proportional to 1,227.11, 1,692.65 and 729.65

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Solution

The fourth proportional to 1,227.11, 1,692.65 and 729.65 is: 1,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.11 : 1,692.65 = 729.65 : x
  2. Step 2: Convert to fraction form
    1,227.11/1,692.65 = 729.65/x
  3. Step 3: Cross multiply
    1,227.11x = 1,692.65 × 729.65
  4. Step 4: Simplify right side
    1,227.11x = 1,235,029.96
  5. Step 5: Solve for x
    x = 1,235,029.96/1,227.11
  6. Step 6: Final answer
    x = 1,006.46

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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.