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Finding the Fourth Proportional to 827.62, 1,240.82 and 462.51

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Solution

The fourth proportional to 827.62, 1,240.82 and 462.51 is: 693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.62 : 1,240.82 = 462.51 : x
  2. Step 2: Convert to fraction form
    827.62/1,240.82 = 462.51/x
  3. Step 3: Cross multiply
    827.62x = 1,240.82 × 462.51
  4. Step 4: Simplify right side
    827.62x = 573,891.08
  5. Step 5: Solve for x
    x = 573,891.08/827.62
  6. Step 6: Final answer
    x = 693.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.