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Finding the Fourth Proportional to 822.58, 1,233.87 and 267.37

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Solution

The fourth proportional to 822.58, 1,233.87 and 267.37 is: 401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.58 : 1,233.87 = 267.37 : x
  2. Step 2: Convert to fraction form
    822.58/1,233.87 = 267.37/x
  3. Step 3: Cross multiply
    822.58x = 1,233.87 × 267.37
  4. Step 4: Simplify right side
    822.58x = 329,899.82
  5. Step 5: Solve for x
    x = 329,899.82/822.58
  6. Step 6: Final answer
    x = 401.06

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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.