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Finding the Fourth Proportional to 1,226.13, 1,692.12 and 754.05

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Solution

The fourth proportional to 1,226.13, 1,692.12 and 754.05 is: 1,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.13 : 1,692.12 = 754.05 : x
  2. Step 2: Convert to fraction form
    1,226.13/1,692.12 = 754.05/x
  3. Step 3: Cross multiply
    1,226.13x = 1,692.12 × 754.05
  4. Step 4: Simplify right side
    1,226.13x = 1,275,952.26
  5. Step 5: Solve for x
    x = 1,275,952.26/1,226.13
  6. Step 6: Final answer
    x = 1,040.63

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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.