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Finding the Fourth Proportional to 1,274.74, 1,912.13 and 409.05

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Solution

The fourth proportional to 1,274.74, 1,912.13 and 409.05 is: 613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.74 : 1,912.13 = 409.05 : x
  2. Step 2: Convert to fraction form
    1,274.74/1,912.13 = 409.05/x
  3. Step 3: Cross multiply
    1,274.74x = 1,912.13 × 409.05
  4. Step 4: Simplify right side
    1,274.74x = 782,156.78
  5. Step 5: Solve for x
    x = 782,156.78/1,274.74
  6. Step 6: Final answer
    x = 613.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.