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Finding the Fourth Proportional to 822.54, 1,233.98 and 267.28

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Solution

The fourth proportional to 822.54, 1,233.98 and 267.28 is: 400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.54 : 1,233.98 = 267.28 : x
  2. Step 2: Convert to fraction form
    822.54/1,233.98 = 267.28/x
  3. Step 3: Cross multiply
    822.54x = 1,233.98 × 267.28
  4. Step 4: Simplify right side
    822.54x = 329,823.20
  5. Step 5: Solve for x
    x = 329,823.20/822.54
  6. Step 6: Final answer
    x = 400.98

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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.