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Finding the Fourth Proportional to 833.16, 1,249.73 and 277.88

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Solution

The fourth proportional to 833.16, 1,249.73 and 277.88 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.16 : 1,249.73 = 277.88 : x
  2. Step 2: Convert to fraction form
    833.16/1,249.73 = 277.88/x
  3. Step 3: Cross multiply
    833.16x = 1,249.73 × 277.88
  4. Step 4: Simplify right side
    833.16x = 347,267.33
  5. Step 5: Solve for x
    x = 347,267.33/833.16
  6. Step 6: Final answer
    x = 416.81

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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.