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Finding the Fourth Proportional to 1,082.67, 1,623.09 and 620.70

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Solution

The fourth proportional to 1,082.67, 1,623.09 and 620.70 is: 930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.67 : 1,623.09 = 620.70 : x
  2. Step 2: Convert to fraction form
    1,082.67/1,623.09 = 620.70/x
  3. Step 3: Cross multiply
    1,082.67x = 1,623.09 × 620.70
  4. Step 4: Simplify right side
    1,082.67x = 1,007,451.96
  5. Step 5: Solve for x
    x = 1,007,451.96/1,082.67
  6. Step 6: Final answer
    x = 930.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.