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Finding the Fourth Proportional to 1,379.38, 1,903.44 and 789.82

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Solution

The fourth proportional to 1,379.38, 1,903.44 and 789.82 is: 1,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.38 : 1,903.44 = 789.82 : x
  2. Step 2: Convert to fraction form
    1,379.38/1,903.44 = 789.82/x
  3. Step 3: Cross multiply
    1,379.38x = 1,903.44 × 789.82
  4. Step 4: Simplify right side
    1,379.38x = 1,503,374.98
  5. Step 5: Solve for x
    x = 1,503,374.98/1,379.38
  6. Step 6: Final answer
    x = 1,089.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.