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Finding the Fourth Proportional to 908.38, 1,252.15 and 833.05

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Solution

The fourth proportional to 908.38, 1,252.15 and 833.05 is: 1,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.38 : 1,252.15 = 833.05 : x
  2. Step 2: Convert to fraction form
    908.38/1,252.15 = 833.05/x
  3. Step 3: Cross multiply
    908.38x = 1,252.15 × 833.05
  4. Step 4: Simplify right side
    908.38x = 1,043,103.56
  5. Step 5: Solve for x
    x = 1,043,103.56/908.38
  6. Step 6: Final answer
    x = 1,148.31

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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.