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Finding the Fourth Proportional to 982.64, 1,474.18 and 462.65

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Solution

The fourth proportional to 982.64, 1,474.18 and 462.65 is: 694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.64 : 1,474.18 = 462.65 : x
  2. Step 2: Convert to fraction form
    982.64/1,474.18 = 462.65/x
  3. Step 3: Cross multiply
    982.64x = 1,474.18 × 462.65
  4. Step 4: Simplify right side
    982.64x = 682,020.85
  5. Step 5: Solve for x
    x = 682,020.85/982.64
  6. Step 6: Final answer
    x = 694.07

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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.