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Finding the Fourth Proportional to 1,226.57, 1,692.50 and 729.11

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Solution

The fourth proportional to 1,226.57, 1,692.50 and 729.11 is: 1,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.57 : 1,692.50 = 729.11 : x
  2. Step 2: Convert to fraction form
    1,226.57/1,692.50 = 729.11/x
  3. Step 3: Cross multiply
    1,226.57x = 1,692.50 × 729.11
  4. Step 4: Simplify right side
    1,226.57x = 1,234,024.73
  5. Step 5: Solve for x
    x = 1,234,024.73/1,226.57
  6. Step 6: Final answer
    x = 1,006.08

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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.