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Finding the Fourth Proportional to 823.67, 1,233.57 and 498.45

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Solution

The fourth proportional to 823.67, 1,233.57 and 498.45 is: 746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.67 : 1,233.57 = 498.45 : x
  2. Step 2: Convert to fraction form
    823.67/1,233.57 = 498.45/x
  3. Step 3: Cross multiply
    823.67x = 1,233.57 × 498.45
  4. Step 4: Simplify right side
    823.67x = 614,872.97
  5. Step 5: Solve for x
    x = 614,872.97/823.67
  6. Step 6: Final answer
    x = 746.51

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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.