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Finding the Fourth Proportional to 832.83, 1,249.97 and 650.58

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Solution

The fourth proportional to 832.83, 1,249.97 and 650.58 is: 976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.83 : 1,249.97 = 650.58 : x
  2. Step 2: Convert to fraction form
    832.83/1,249.97 = 650.58/x
  3. Step 3: Cross multiply
    832.83x = 1,249.97 × 650.58
  4. Step 4: Simplify right side
    832.83x = 813,202.23
  5. Step 5: Solve for x
    x = 813,202.23/832.83
  6. Step 6: Final answer
    x = 976.43

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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.