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Finding the Fourth Proportional to 1,211.73, 1,817.60 and 779.19

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Solution

The fourth proportional to 1,211.73, 1,817.60 and 779.19 is: 1,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.73 : 1,817.60 = 779.19 : x
  2. Step 2: Convert to fraction form
    1,211.73/1,817.60 = 779.19/x
  3. Step 3: Cross multiply
    1,211.73x = 1,817.60 × 779.19
  4. Step 4: Simplify right side
    1,211.73x = 1,416,253.15
  5. Step 5: Solve for x
    x = 1,416,253.15/1,211.73
  6. Step 6: Final answer
    x = 1,168.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.