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Finding the Fourth Proportional to 674.78, 1,012.14 and 187.82

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Solution

The fourth proportional to 674.78, 1,012.14 and 187.82 is: 281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.78 : 1,012.14 = 187.82 : x
  2. Step 2: Convert to fraction form
    674.78/1,012.14 = 187.82/x
  3. Step 3: Cross multiply
    674.78x = 1,012.14 × 187.82
  4. Step 4: Simplify right side
    674.78x = 190,100.13
  5. Step 5: Solve for x
    x = 190,100.13/674.78
  6. Step 6: Final answer
    x = 281.72

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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.