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Finding the Fourth Proportional to 1,348.98, 1,861.61 and 789.78

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Solution

The fourth proportional to 1,348.98, 1,861.61 and 789.78 is: 1,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.98 : 1,861.61 = 789.78 : x
  2. Step 2: Convert to fraction form
    1,348.98/1,861.61 = 789.78/x
  3. Step 3: Cross multiply
    1,348.98x = 1,861.61 × 789.78
  4. Step 4: Simplify right side
    1,348.98x = 1,470,257.34
  5. Step 5: Solve for x
    x = 1,470,257.34/1,348.98
  6. Step 6: Final answer
    x = 1,089.90

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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.