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Finding the Fourth Proportional to 1,442.73, 1,990.92 and 821.73

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Solution

The fourth proportional to 1,442.73, 1,990.92 and 821.73 is: 1,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.73 : 1,990.92 = 821.73 : x
  2. Step 2: Convert to fraction form
    1,442.73/1,990.92 = 821.73/x
  3. Step 3: Cross multiply
    1,442.73x = 1,990.92 × 821.73
  4. Step 4: Simplify right side
    1,442.73x = 1,635,998.69
  5. Step 5: Solve for x
    x = 1,635,998.69/1,442.73
  6. Step 6: Final answer
    x = 1,133.96

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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.