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Finding the Fourth Proportional to 1,211.73, 1,802.16 and 1,198.77

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Solution

The fourth proportional to 1,211.73, 1,802.16 and 1,198.77 is: 1,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.73 : 1,802.16 = 1,198.77 : x
  2. Step 2: Convert to fraction form
    1,211.73/1,802.16 = 1,198.77/x
  3. Step 3: Cross multiply
    1,211.73x = 1,802.16 × 1,198.77
  4. Step 4: Simplify right side
    1,211.73x = 2,160,375.34
  5. Step 5: Solve for x
    x = 2,160,375.34/1,211.73
  6. Step 6: Final answer
    x = 1,782.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.