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Finding the Fourth Proportional to 822.79, 1,234.33 and 275

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Solution

The fourth proportional to 822.79, 1,234.33 and 275 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.79 : 1,234.33 = 275 : x
  2. Step 2: Convert to fraction form
    822.79/1,234.33 = 275/x
  3. Step 3: Cross multiply
    822.79x = 1,234.33 × 275
  4. Step 4: Simplify right side
    822.79x = 339,440.75
  5. Step 5: Solve for x
    x = 339,440.75/822.79
  6. Step 6: Final answer
    x = 412.55

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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.