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Finding the Fourth Proportional to 822.70, 1,234.20 and 274.92

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Solution

The fourth proportional to 822.70, 1,234.20 and 274.92 is: 412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.70 : 1,234.20 = 274.92 : x
  2. Step 2: Convert to fraction form
    822.70/1,234.20 = 274.92/x
  3. Step 3: Cross multiply
    822.70x = 1,234.20 × 274.92
  4. Step 4: Simplify right side
    822.70x = 339,306.26
  5. Step 5: Solve for x
    x = 339,306.26/822.70
  6. Step 6: Final answer
    x = 412.43

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Double scale
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1.5x scale

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.