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Finding the Fourth Proportional to 833.77, 1,250.66 and 399.61

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Solution

The fourth proportional to 833.77, 1,250.66 and 399.61 is: 599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.77 : 1,250.66 = 399.61 : x
  2. Step 2: Convert to fraction form
    833.77/1,250.66 = 399.61/x
  3. Step 3: Cross multiply
    833.77x = 1,250.66 × 399.61
  4. Step 4: Simplify right side
    833.77x = 499,778.80
  5. Step 5: Solve for x
    x = 499,778.80/833.77
  6. Step 6: Final answer
    x = 599.42

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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.