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Finding the Fourth Proportional to 833.74, 1,249.77 and 394.21

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Solution

The fourth proportional to 833.74, 1,249.77 and 394.21 is: 590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.74 : 1,249.77 = 394.21 : x
  2. Step 2: Convert to fraction form
    833.74/1,249.77 = 394.21/x
  3. Step 3: Cross multiply
    833.74x = 1,249.77 × 394.21
  4. Step 4: Simplify right side
    833.74x = 492,665.58
  5. Step 5: Solve for x
    x = 492,665.58/833.74
  6. Step 6: Final answer
    x = 590.91

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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.