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Finding the Fourth Proportional to 819.80, 1,130.13 and 622.97

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Solution

The fourth proportional to 819.80, 1,130.13 and 622.97 is: 858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.80 : 1,130.13 = 622.97 : x
  2. Step 2: Convert to fraction form
    819.80/1,130.13 = 622.97/x
  3. Step 3: Cross multiply
    819.80x = 1,130.13 × 622.97
  4. Step 4: Simplify right side
    819.80x = 704,037.09
  5. Step 5: Solve for x
    x = 704,037.09/819.80
  6. Step 6: Final answer
    x = 858.79

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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.