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Finding the Fourth Proportional to 833.14, 1,249.91 and 277.85

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Solution

The fourth proportional to 833.14, 1,249.91 and 277.85 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,249.91 = 277.85 : x
  2. Step 2: Convert to fraction form
    833.14/1,249.91 = 277.85/x
  3. Step 3: Cross multiply
    833.14x = 1,249.91 × 277.85
  4. Step 4: Simplify right side
    833.14x = 347,281.24
  5. Step 5: Solve for x
    x = 347,281.24/833.14
  6. Step 6: Final answer
    x = 416.83

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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.