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Finding the Fourth Proportional to 825.82, 1,236.29 and 723.30

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Solution

The fourth proportional to 825.82, 1,236.29 and 723.30 is: 1,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.82 : 1,236.29 = 723.30 : x
  2. Step 2: Convert to fraction form
    825.82/1,236.29 = 723.30/x
  3. Step 3: Cross multiply
    825.82x = 1,236.29 × 723.30
  4. Step 4: Simplify right side
    825.82x = 894,212.77
  5. Step 5: Solve for x
    x = 894,212.77/825.82
  6. Step 6: Final answer
    x = 1,082.82

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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.