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Finding the Fourth Proportional to 908.31, 1,251.12 and 847.83

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Solution

The fourth proportional to 908.31, 1,251.12 and 847.83 is: 1,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.31 : 1,251.12 = 847.83 : x
  2. Step 2: Convert to fraction form
    908.31/1,251.12 = 847.83/x
  3. Step 3: Cross multiply
    908.31x = 1,251.12 × 847.83
  4. Step 4: Simplify right side
    908.31x = 1,060,737.07
  5. Step 5: Solve for x
    x = 1,060,737.07/908.31
  6. Step 6: Final answer
    x = 1,167.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.