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Finding the Fourth Proportional to 827, 1,240.68 and 314

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Solution

The fourth proportional to 827, 1,240.68 and 314 is: 471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    827 : 1,240.68 = 314 : x
  2. Step 2: Convert to fraction form
    827/1,240.68 = 314/x
  3. Step 3: Cross multiply
    827x = 1,240.68 × 314
  4. Step 4: Simplify right side
    827x = 389,573.52
  5. Step 5: Solve for x
    x = 389,573.52/827
  6. Step 6: Final answer
    x = 471.07

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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.