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Finding the Fourth Proportional to 1,379.31, 1,904.10 and 789.73

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Solution

The fourth proportional to 1,379.31, 1,904.10 and 789.73 is: 1,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.31 : 1,904.10 = 789.73 : x
  2. Step 2: Convert to fraction form
    1,379.31/1,904.10 = 789.73/x
  3. Step 3: Cross multiply
    1,379.31x = 1,904.10 × 789.73
  4. Step 4: Simplify right side
    1,379.31x = 1,503,724.89
  5. Step 5: Solve for x
    x = 1,503,724.89/1,379.31
  6. Step 6: Final answer
    x = 1,090.20

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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.