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Finding the Fourth Proportional to 974.73, 1,459.01 and 827.11

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Solution

The fourth proportional to 974.73, 1,459.01 and 827.11 is: 1,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.73 : 1,459.01 = 827.11 : x
  2. Step 2: Convert to fraction form
    974.73/1,459.01 = 827.11/x
  3. Step 3: Cross multiply
    974.73x = 1,459.01 × 827.11
  4. Step 4: Simplify right side
    974.73x = 1,206,765.65
  5. Step 5: Solve for x
    x = 1,206,765.65/974.73
  6. Step 6: Final answer
    x = 1,238.05

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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.