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Finding the Fourth Proportional to 833.56, 1,250.22 and 320.68

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Solution

The fourth proportional to 833.56, 1,250.22 and 320.68 is: 480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.56 : 1,250.22 = 320.68 : x
  2. Step 2: Convert to fraction form
    833.56/1,250.22 = 320.68/x
  3. Step 3: Cross multiply
    833.56x = 1,250.22 × 320.68
  4. Step 4: Simplify right side
    833.56x = 400,920.55
  5. Step 5: Solve for x
    x = 400,920.55/833.56
  6. Step 6: Final answer
    x = 480.97

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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.