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Finding the Fourth Proportional to 1,274.31, 1,911.76 and 396.77

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Solution

The fourth proportional to 1,274.31, 1,911.76 and 396.77 is: 595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.31 : 1,911.76 = 396.77 : x
  2. Step 2: Convert to fraction form
    1,274.31/1,911.76 = 396.77/x
  3. Step 3: Cross multiply
    1,274.31x = 1,911.76 × 396.77
  4. Step 4: Simplify right side
    1,274.31x = 758,517.47
  5. Step 5: Solve for x
    x = 758,517.47/1,274.31
  6. Step 6: Final answer
    x = 595.24

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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.