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Finding the Fourth Proportional to 1,274.26, 1,911.57 and 396.82

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Solution

The fourth proportional to 1,274.26, 1,911.57 and 396.82 is: 595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.26 : 1,911.57 = 396.82 : x
  2. Step 2: Convert to fraction form
    1,274.26/1,911.57 = 396.82/x
  3. Step 3: Cross multiply
    1,274.26x = 1,911.57 × 396.82
  4. Step 4: Simplify right side
    1,274.26x = 758,555.07
  5. Step 5: Solve for x
    x = 758,555.07/1,274.26
  6. Step 6: Final answer
    x = 595.29

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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.