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Finding the Fourth Proportional to 1,226.69, 1,688.97 and 1,082.82

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Solution

The fourth proportional to 1,226.69, 1,688.97 and 1,082.82 is: 1,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.69 : 1,688.97 = 1,082.82 : x
  2. Step 2: Convert to fraction form
    1,226.69/1,688.97 = 1,082.82/x
  3. Step 3: Cross multiply
    1,226.69x = 1,688.97 × 1,082.82
  4. Step 4: Simplify right side
    1,226.69x = 1,828,850.50
  5. Step 5: Solve for x
    x = 1,828,850.50/1,226.69
  6. Step 6: Final answer
    x = 1,490.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.