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Finding the Fourth Proportional to 1,443.74, 1,992.24 and 814.42

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Solution

The fourth proportional to 1,443.74, 1,992.24 and 814.42 is: 1,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.74 : 1,992.24 = 814.42 : x
  2. Step 2: Convert to fraction form
    1,443.74/1,992.24 = 814.42/x
  3. Step 3: Cross multiply
    1,443.74x = 1,992.24 × 814.42
  4. Step 4: Simplify right side
    1,443.74x = 1,622,527.12
  5. Step 5: Solve for x
    x = 1,622,527.12/1,443.74
  6. Step 6: Final answer
    x = 1,123.84

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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.