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Finding the Fourth Proportional to 1,211.26, 1,817.39 and 431.41

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Solution

The fourth proportional to 1,211.26, 1,817.39 and 431.41 is: 647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.26 : 1,817.39 = 431.41 : x
  2. Step 2: Convert to fraction form
    1,211.26/1,817.39 = 431.41/x
  3. Step 3: Cross multiply
    1,211.26x = 1,817.39 × 431.41
  4. Step 4: Simplify right side
    1,211.26x = 784,040.22
  5. Step 5: Solve for x
    x = 784,040.22/1,211.26
  6. Step 6: Final answer
    x = 647.29

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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.