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Finding the Fourth Proportional to 822.26, 1,233.60 and 274.70

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Solution

The fourth proportional to 822.26, 1,233.60 and 274.70 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.26 : 1,233.60 = 274.70 : x
  2. Step 2: Convert to fraction form
    822.26/1,233.60 = 274.70/x
  3. Step 3: Cross multiply
    822.26x = 1,233.60 × 274.70
  4. Step 4: Simplify right side
    822.26x = 338,869.92
  5. Step 5: Solve for x
    x = 338,869.92/822.26
  6. Step 6: Final answer
    x = 412.12

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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.