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Finding the Fourth Proportional to 1,274.15, 1,910.01 and 452.21

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Solution

The fourth proportional to 1,274.15, 1,910.01 and 452.21 is: 677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.15 : 1,910.01 = 452.21 : x
  2. Step 2: Convert to fraction form
    1,274.15/1,910.01 = 452.21/x
  3. Step 3: Cross multiply
    1,274.15x = 1,910.01 × 452.21
  4. Step 4: Simplify right side
    1,274.15x = 863,725.62
  5. Step 5: Solve for x
    x = 863,725.62/1,274.15
  6. Step 6: Final answer
    x = 677.88

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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.