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Finding the Fourth Proportional to 822.49, 1,233.96 and 274.68

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Solution

The fourth proportional to 822.49, 1,233.96 and 274.68 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.49 : 1,233.96 = 274.68 : x
  2. Step 2: Convert to fraction form
    822.49/1,233.96 = 274.68/x
  3. Step 3: Cross multiply
    822.49x = 1,233.96 × 274.68
  4. Step 4: Simplify right side
    822.49x = 338,943.10
  5. Step 5: Solve for x
    x = 338,943.10/822.49
  6. Step 6: Final answer
    x = 412.10

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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.