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Finding the Fourth Proportional to 823.25, 1,234.62 and 275.33

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Solution

The fourth proportional to 823.25, 1,234.62 and 275.33 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.25 : 1,234.62 = 275.33 : x
  2. Step 2: Convert to fraction form
    823.25/1,234.62 = 275.33/x
  3. Step 3: Cross multiply
    823.25x = 1,234.62 × 275.33
  4. Step 4: Simplify right side
    823.25x = 339,931.01
  5. Step 5: Solve for x
    x = 339,931.01/823.25
  6. Step 6: Final answer
    x = 412.91

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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.