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Finding the Fourth Proportional to 674.77, 1,012.12 and 187.81

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Solution

The fourth proportional to 674.77, 1,012.12 and 187.81 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.77 : 1,012.12 = 187.81 : x
  2. Step 2: Convert to fraction form
    674.77/1,012.12 = 187.81/x
  3. Step 3: Cross multiply
    674.77x = 1,012.12 × 187.81
  4. Step 4: Simplify right side
    674.77x = 190,083.73
  5. Step 5: Solve for x
    x = 190,083.73/674.77
  6. Step 6: Final answer
    x = 281.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.