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Finding the Fourth Proportional to 649.78, 974.49 and 187.44

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Solution

The fourth proportional to 649.78, 974.49 and 187.44 is: 281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.78 : 974.49 = 187.44 : x
  2. Step 2: Convert to fraction form
    649.78/974.49 = 187.44/x
  3. Step 3: Cross multiply
    649.78x = 974.49 × 187.44
  4. Step 4: Simplify right side
    649.78x = 182,658.41
  5. Step 5: Solve for x
    x = 182,658.41/649.78
  6. Step 6: Final answer
    x = 281.11

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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.