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Finding the Fourth Proportional to 649.14, 971.82 and 504.42

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Solution

The fourth proportional to 649.14, 971.82 and 504.42 is: 755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.14 : 971.82 = 504.42 : x
  2. Step 2: Convert to fraction form
    649.14/971.82 = 504.42/x
  3. Step 3: Cross multiply
    649.14x = 971.82 × 504.42
  4. Step 4: Simplify right side
    649.14x = 490,205.44
  5. Step 5: Solve for x
    x = 490,205.44/649.14
  6. Step 6: Final answer
    x = 755.16

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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.