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Finding the Fourth Proportional to 832.97, 1,249.10 and 255.71

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Solution

The fourth proportional to 832.97, 1,249.10 and 255.71 is: 383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.97 : 1,249.10 = 255.71 : x
  2. Step 2: Convert to fraction form
    832.97/1,249.10 = 255.71/x
  3. Step 3: Cross multiply
    832.97x = 1,249.10 × 255.71
  4. Step 4: Simplify right side
    832.97x = 319,406.08
  5. Step 5: Solve for x
    x = 319,406.08/832.97
  6. Step 6: Final answer
    x = 383.45

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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.