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Finding the Fourth Proportional to 1,211.82, 1,815.26 and 593.68

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Solution

The fourth proportional to 1,211.82, 1,815.26 and 593.68 is: 889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.82 : 1,815.26 = 593.68 : x
  2. Step 2: Convert to fraction form
    1,211.82/1,815.26 = 593.68/x
  3. Step 3: Cross multiply
    1,211.82x = 1,815.26 × 593.68
  4. Step 4: Simplify right side
    1,211.82x = 1,077,683.56
  5. Step 5: Solve for x
    x = 1,077,683.56/1,211.82
  6. Step 6: Final answer
    x = 889.31

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