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Finding the Fourth Proportional to 1,753.31, 2,627.84 and 827.78

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Solution

The fourth proportional to 1,753.31, 2,627.84 and 827.78 is: 1,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.31 : 2,627.84 = 827.78 : x
  2. Step 2: Convert to fraction form
    1,753.31/2,627.84 = 827.78/x
  3. Step 3: Cross multiply
    1,753.31x = 2,627.84 × 827.78
  4. Step 4: Simplify right side
    1,753.31x = 2,175,256.12
  5. Step 5: Solve for x
    x = 2,175,256.12/1,753.31
  6. Step 6: Final answer
    x = 1,240.66

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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.