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Finding the Fourth Proportional to 950.23, 1,310.82 and 825.61

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Solution

The fourth proportional to 950.23, 1,310.82 and 825.61 is: 1,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.23 : 1,310.82 = 825.61 : x
  2. Step 2: Convert to fraction form
    950.23/1,310.82 = 825.61/x
  3. Step 3: Cross multiply
    950.23x = 1,310.82 × 825.61
  4. Step 4: Simplify right side
    950.23x = 1,082,226.10
  5. Step 5: Solve for x
    x = 1,082,226.10/950.23
  6. Step 6: Final answer
    x = 1,138.91

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Why These Related Problems?

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