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Finding the Fourth Proportional to 827.17, 1,240.76 and 210.88

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Solution

The fourth proportional to 827.17, 1,240.76 and 210.88 is: 316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.17 : 1,240.76 = 210.88 : x
  2. Step 2: Convert to fraction form
    827.17/1,240.76 = 210.88/x
  3. Step 3: Cross multiply
    827.17x = 1,240.76 × 210.88
  4. Step 4: Simplify right side
    827.17x = 261,649.91
  5. Step 5: Solve for x
    x = 261,649.91/827.17
  6. Step 6: Final answer
    x = 316.32

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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.