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Finding the Fourth Proportional to 825.82, 1,137.69 and 576.70

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Solution

The fourth proportional to 825.82, 1,137.69 and 576.70 is: 794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.82 : 1,137.69 = 576.70 : x
  2. Step 2: Convert to fraction form
    825.82/1,137.69 = 576.70/x
  3. Step 3: Cross multiply
    825.82x = 1,137.69 × 576.70
  4. Step 4: Simplify right side
    825.82x = 656,105.82
  5. Step 5: Solve for x
    x = 656,105.82/825.82
  6. Step 6: Final answer
    x = 794.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.