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Finding the Fourth Proportional to 1,379.35, 1,903.30 and 789.77

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Solution

The fourth proportional to 1,379.35, 1,903.30 and 789.77 is: 1,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.35 : 1,903.30 = 789.77 : x
  2. Step 2: Convert to fraction form
    1,379.35/1,903.30 = 789.77/x
  3. Step 3: Cross multiply
    1,379.35x = 1,903.30 × 789.77
  4. Step 4: Simplify right side
    1,379.35x = 1,503,169.24
  5. Step 5: Solve for x
    x = 1,503,169.24/1,379.35
  6. Step 6: Final answer
    x = 1,089.77

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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.