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Finding the Fourth Proportional to 843.99, 1,265.39 and 404.71

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Solution

The fourth proportional to 843.99, 1,265.39 and 404.71 is: 606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.99 : 1,265.39 = 404.71 : x
  2. Step 2: Convert to fraction form
    843.99/1,265.39 = 404.71/x
  3. Step 3: Cross multiply
    843.99x = 1,265.39 × 404.71
  4. Step 4: Simplify right side
    843.99x = 512,119.44
  5. Step 5: Solve for x
    x = 512,119.44/843.99
  6. Step 6: Final answer
    x = 606.79

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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.