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Finding the Fourth Proportional to 823.23, 1,232.42 and 497.61

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Solution

The fourth proportional to 823.23, 1,232.42 and 497.61 is: 744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.23 : 1,232.42 = 497.61 : x
  2. Step 2: Convert to fraction form
    823.23/1,232.42 = 497.61/x
  3. Step 3: Cross multiply
    823.23x = 1,232.42 × 497.61
  4. Step 4: Simplify right side
    823.23x = 613,262.03
  5. Step 5: Solve for x
    x = 613,262.03/823.23
  6. Step 6: Final answer
    x = 744.95

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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.