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Finding the Fourth Proportional to 821.93, 1,231.49 and 496.61

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Solution

The fourth proportional to 821.93, 1,231.49 and 496.61 is: 744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,231.49 = 496.61 : x
  2. Step 2: Convert to fraction form
    821.93/1,231.49 = 496.61/x
  3. Step 3: Cross multiply
    821.93x = 1,231.49 × 496.61
  4. Step 4: Simplify right side
    821.93x = 611,570.25
  5. Step 5: Solve for x
    x = 611,570.25/821.93
  6. Step 6: Final answer
    x = 744.07

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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.