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Finding the Fourth Proportional to 1,274.82, 1,912.20 and 504.78

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Solution

The fourth proportional to 1,274.82, 1,912.20 and 504.78 is: 757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.82 : 1,912.20 = 504.78 : x
  2. Step 2: Convert to fraction form
    1,274.82/1,912.20 = 504.78/x
  3. Step 3: Cross multiply
    1,274.82x = 1,912.20 × 504.78
  4. Step 4: Simplify right side
    1,274.82x = 965,240.32
  5. Step 5: Solve for x
    x = 965,240.32/1,274.82
  6. Step 6: Final answer
    x = 757.16

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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.