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Finding the Fourth Proportional to 832.92, 1,249.68 and 523.80

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Solution

The fourth proportional to 832.92, 1,249.68 and 523.80 is: 785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.92 : 1,249.68 = 523.80 : x
  2. Step 2: Convert to fraction form
    832.92/1,249.68 = 523.80/x
  3. Step 3: Cross multiply
    832.92x = 1,249.68 × 523.80
  4. Step 4: Simplify right side
    832.92x = 654,582.38
  5. Step 5: Solve for x
    x = 654,582.38/832.92
  6. Step 6: Final answer
    x = 785.89

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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.