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Finding the Fourth Proportional to 1,274.89, 1,912.62 and 409.18

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Solution

The fourth proportional to 1,274.89, 1,912.62 and 409.18 is: 613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.89 : 1,912.62 = 409.18 : x
  2. Step 2: Convert to fraction form
    1,274.89/1,912.62 = 409.18/x
  3. Step 3: Cross multiply
    1,274.89x = 1,912.62 × 409.18
  4. Step 4: Simplify right side
    1,274.89x = 782,605.85
  5. Step 5: Solve for x
    x = 782,605.85/1,274.89
  6. Step 6: Final answer
    x = 613.86

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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.