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Finding the Fourth Proportional to 1,211.38, 1,817.17 and 431.55

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Solution

The fourth proportional to 1,211.38, 1,817.17 and 431.55 is: 647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.38 : 1,817.17 = 431.55 : x
  2. Step 2: Convert to fraction form
    1,211.38/1,817.17 = 431.55/x
  3. Step 3: Cross multiply
    1,211.38x = 1,817.17 × 431.55
  4. Step 4: Simplify right side
    1,211.38x = 784,198.63
  5. Step 5: Solve for x
    x = 784,198.63/1,211.38
  6. Step 6: Final answer
    x = 647.36

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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.