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Finding the Fourth Proportional to 651.21, 976.42 and 513.82

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Solution

The fourth proportional to 651.21, 976.42 and 513.82 is: 770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.21 : 976.42 = 513.82 : x
  2. Step 2: Convert to fraction form
    651.21/976.42 = 513.82/x
  3. Step 3: Cross multiply
    651.21x = 976.42 × 513.82
  4. Step 4: Simplify right side
    651.21x = 501,704.12
  5. Step 5: Solve for x
    x = 501,704.12/651.21
  6. Step 6: Final answer
    x = 770.42

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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.