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Finding the Fourth Proportional to 833.86, 1,250.49 and 422.73

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Solution

The fourth proportional to 833.86, 1,250.49 and 422.73 is: 633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.86 : 1,250.49 = 422.73 : x
  2. Step 2: Convert to fraction form
    833.86/1,250.49 = 422.73/x
  3. Step 3: Cross multiply
    833.86x = 1,250.49 × 422.73
  4. Step 4: Simplify right side
    833.86x = 528,619.64
  5. Step 5: Solve for x
    x = 528,619.64/833.86
  6. Step 6: Final answer
    x = 633.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.