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Finding the Fourth Proportional to 1,211.66, 1,814.25 and 997.82

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Solution

The fourth proportional to 1,211.66, 1,814.25 and 997.82 is: 1,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.66 : 1,814.25 = 997.82 : x
  2. Step 2: Convert to fraction form
    1,211.66/1,814.25 = 997.82/x
  3. Step 3: Cross multiply
    1,211.66x = 1,814.25 × 997.82
  4. Step 4: Simplify right side
    1,211.66x = 1,810,294.94
  5. Step 5: Solve for x
    x = 1,810,294.94/1,211.66
  6. Step 6: Final answer
    x = 1,494.06

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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.