Home / 1,226.34-1,692.29-729.03

Finding the Fourth Proportional to 1,226.34, 1,692.29 and 729.03

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Solution

The fourth proportional to 1,226.34, 1,692.29 and 729.03 is: 1,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.34 : 1,692.29 = 729.03 : x
  2. Step 2: Convert to fraction form
    1,226.34/1,692.29 = 729.03/x
  3. Step 3: Cross multiply
    1,226.34x = 1,692.29 × 729.03
  4. Step 4: Simplify right side
    1,226.34x = 1,233,738.35
  5. Step 5: Solve for x
    x = 1,233,738.35/1,226.34
  6. Step 6: Final answer
    x = 1,006.03

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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.