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Finding the Fourth Proportional to 1,211.23, 1,815.90 and 517.33

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Solution

The fourth proportional to 1,211.23, 1,815.90 and 517.33 is: 775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.23 : 1,815.90 = 517.33 : x
  2. Step 2: Convert to fraction form
    1,211.23/1,815.90 = 517.33/x
  3. Step 3: Cross multiply
    1,211.23x = 1,815.90 × 517.33
  4. Step 4: Simplify right side
    1,211.23x = 939,419.55
  5. Step 5: Solve for x
    x = 939,419.55/1,211.23
  6. Step 6: Final answer
    x = 775.59

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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.