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Finding the Fourth Proportional to 822.53, 1,233.05 and 274.43

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Solution

The fourth proportional to 822.53, 1,233.05 and 274.43 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.53 : 1,233.05 = 274.43 : x
  2. Step 2: Convert to fraction form
    822.53/1,233.05 = 274.43/x
  3. Step 3: Cross multiply
    822.53x = 1,233.05 × 274.43
  4. Step 4: Simplify right side
    822.53x = 338,378.37
  5. Step 5: Solve for x
    x = 338,378.37/822.53
  6. Step 6: Final answer
    x = 411.39

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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.