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Finding the Fourth Proportional to 674.72, 1,012.14 and 187.78

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Solution

The fourth proportional to 674.72, 1,012.14 and 187.78 is: 281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.72 : 1,012.14 = 187.78 : x
  2. Step 2: Convert to fraction form
    674.72/1,012.14 = 187.78/x
  3. Step 3: Cross multiply
    674.72x = 1,012.14 × 187.78
  4. Step 4: Simplify right side
    674.72x = 190,059.65
  5. Step 5: Solve for x
    x = 190,059.65/674.72
  6. Step 6: Final answer
    x = 281.69

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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.