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Finding the Fourth Proportional to 951.41, 1,420.24 and 822.24

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Solution

The fourth proportional to 951.41, 1,420.24 and 822.24 is: 1,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.41 : 1,420.24 = 822.24 : x
  2. Step 2: Convert to fraction form
    951.41/1,420.24 = 822.24/x
  3. Step 3: Cross multiply
    951.41x = 1,420.24 × 822.24
  4. Step 4: Simplify right side
    951.41x = 1,167,778.14
  5. Step 5: Solve for x
    x = 1,167,778.14/951.41
  6. Step 6: Final answer
    x = 1,227.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.