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Finding the Fourth Proportional to 674.93, 1,012.46 and 212.73

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Solution

The fourth proportional to 674.93, 1,012.46 and 212.73 is: 319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.93 : 1,012.46 = 212.73 : x
  2. Step 2: Convert to fraction form
    674.93/1,012.46 = 212.73/x
  3. Step 3: Cross multiply
    674.93x = 1,012.46 × 212.73
  4. Step 4: Simplify right side
    674.93x = 215,379.55
  5. Step 5: Solve for x
    x = 215,379.55/674.93
  6. Step 6: Final answer
    x = 319.12

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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.