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Finding the Fourth Proportional to 981.86, 1,472.78 and 251.43

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Solution

The fourth proportional to 981.86, 1,472.78 and 251.43 is: 377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.86 : 1,472.78 = 251.43 : x
  2. Step 2: Convert to fraction form
    981.86/1,472.78 = 251.43/x
  3. Step 3: Cross multiply
    981.86x = 1,472.78 × 251.43
  4. Step 4: Simplify right side
    981.86x = 370,299.82
  5. Step 5: Solve for x
    x = 370,299.82/981.86
  6. Step 6: Final answer
    x = 377.14

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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.