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Finding the Fourth Proportional to 1,274.28, 1,911.72 and 504.78

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Solution

The fourth proportional to 1,274.28, 1,911.72 and 504.78 is: 757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.28 : 1,911.72 = 504.78 : x
  2. Step 2: Convert to fraction form
    1,274.28/1,911.72 = 504.78/x
  3. Step 3: Cross multiply
    1,274.28x = 1,911.72 × 504.78
  4. Step 4: Simplify right side
    1,274.28x = 964,998.02
  5. Step 5: Solve for x
    x = 964,998.02/1,274.28
  6. Step 6: Final answer
    x = 757.29

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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.