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Finding the Fourth Proportional to 827.71, 1,240.74 and 519.79

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Solution

The fourth proportional to 827.71, 1,240.74 and 519.79 is: 779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.71 : 1,240.74 = 519.79 : x
  2. Step 2: Convert to fraction form
    827.71/1,240.74 = 519.79/x
  3. Step 3: Cross multiply
    827.71x = 1,240.74 × 519.79
  4. Step 4: Simplify right side
    827.71x = 644,924.24
  5. Step 5: Solve for x
    x = 644,924.24/827.71
  6. Step 6: Final answer
    x = 779.17

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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.