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Finding the Fourth Proportional to 833.00, 1,249.57 and 216.71

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Solution

The fourth proportional to 833.00, 1,249.57 and 216.71 is: 325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.00 : 1,249.57 = 216.71 : x
  2. Step 2: Convert to fraction form
    833.00/1,249.57 = 216.71/x
  3. Step 3: Cross multiply
    833.00x = 1,249.57 × 216.71
  4. Step 4: Simplify right side
    833.00x = 270,793.02
  5. Step 5: Solve for x
    x = 270,793.02/833.00
  6. Step 6: Final answer
    x = 325.08

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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.