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Finding the Fourth Proportional to 808.97, 1,116.18 and 584.73

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Solution

The fourth proportional to 808.97, 1,116.18 and 584.73 is: 806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.97 : 1,116.18 = 584.73 : x
  2. Step 2: Convert to fraction form
    808.97/1,116.18 = 584.73/x
  3. Step 3: Cross multiply
    808.97x = 1,116.18 × 584.73
  4. Step 4: Simplify right side
    808.97x = 652,663.93
  5. Step 5: Solve for x
    x = 652,663.93/808.97
  6. Step 6: Final answer
    x = 806.79

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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.