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Finding the Fourth Proportional to 1,226.82, 1,692.97 and 702.82

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Solution

The fourth proportional to 1,226.82, 1,692.97 and 702.82 is: 969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.82 : 1,692.97 = 702.82 : x
  2. Step 2: Convert to fraction form
    1,226.82/1,692.97 = 702.82/x
  3. Step 3: Cross multiply
    1,226.82x = 1,692.97 × 702.82
  4. Step 4: Simplify right side
    1,226.82x = 1,189,853.18
  5. Step 5: Solve for x
    x = 1,189,853.18/1,226.82
  6. Step 6: Final answer
    x = 969.87

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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.