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Finding the Fourth Proportional to 1,226.67, 1,692.43 and 695.47

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Solution

The fourth proportional to 1,226.67, 1,692.43 and 695.47 is: 959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.67 : 1,692.43 = 695.47 : x
  2. Step 2: Convert to fraction form
    1,226.67/1,692.43 = 695.47/x
  3. Step 3: Cross multiply
    1,226.67x = 1,692.43 × 695.47
  4. Step 4: Simplify right side
    1,226.67x = 1,177,034.29
  5. Step 5: Solve for x
    x = 1,177,034.29/1,226.67
  6. Step 6: Final answer
    x = 959.54

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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.