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Finding the Fourth Proportional to 832.54, 1,249.57 and 421.96

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Solution

The fourth proportional to 832.54, 1,249.57 and 421.96 is: 633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.54 : 1,249.57 = 421.96 : x
  2. Step 2: Convert to fraction form
    832.54/1,249.57 = 421.96/x
  3. Step 3: Cross multiply
    832.54x = 1,249.57 × 421.96
  4. Step 4: Simplify right side
    832.54x = 527,268.56
  5. Step 5: Solve for x
    x = 527,268.56/832.54
  6. Step 6: Final answer
    x = 633.33

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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.