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Finding the Fourth Proportional to 800.82, 1,104.80 and 579.28

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Solution

The fourth proportional to 800.82, 1,104.80 and 579.28 is: 799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.82 : 1,104.80 = 579.28 : x
  2. Step 2: Convert to fraction form
    800.82/1,104.80 = 579.28/x
  3. Step 3: Cross multiply
    800.82x = 1,104.80 × 579.28
  4. Step 4: Simplify right side
    800.82x = 639,988.54
  5. Step 5: Solve for x
    x = 639,988.54/800.82
  6. Step 6: Final answer
    x = 799.17

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