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Finding the Fourth Proportional to 908.33, 1,252.32 and 588.73

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Solution

The fourth proportional to 908.33, 1,252.32 and 588.73 is: 811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.33 : 1,252.32 = 588.73 : x
  2. Step 2: Convert to fraction form
    908.33/1,252.32 = 588.73/x
  3. Step 3: Cross multiply
    908.33x = 1,252.32 × 588.73
  4. Step 4: Simplify right side
    908.33x = 737,278.35
  5. Step 5: Solve for x
    x = 737,278.35/908.33
  6. Step 6: Final answer
    x = 811.69

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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.