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Finding the Fourth Proportional to 823.16, 1,234.92 and 275.24

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Solution

The fourth proportional to 823.16, 1,234.92 and 275.24 is: 412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.16 : 1,234.92 = 275.24 : x
  2. Step 2: Convert to fraction form
    823.16/1,234.92 = 275.24/x
  3. Step 3: Cross multiply
    823.16x = 1,234.92 × 275.24
  4. Step 4: Simplify right side
    823.16x = 339,899.38
  5. Step 5: Solve for x
    x = 339,899.38/823.16
  6. Step 6: Final answer
    x = 412.92

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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.