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Finding the Fourth Proportional to 1,020.82, 1,529.98 and 814.54

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Solution

The fourth proportional to 1,020.82, 1,529.98 and 814.54 is: 1,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.82 : 1,529.98 = 814.54 : x
  2. Step 2: Convert to fraction form
    1,020.82/1,529.98 = 814.54/x
  3. Step 3: Cross multiply
    1,020.82x = 1,529.98 × 814.54
  4. Step 4: Simplify right side
    1,020.82x = 1,246,229.91
  5. Step 5: Solve for x
    x = 1,246,229.91/1,020.82
  6. Step 6: Final answer
    x = 1,220.81

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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.