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Finding the Fourth Proportional to 819.24, 1,130.79 and 610.12

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Solution

The fourth proportional to 819.24, 1,130.79 and 610.12 is: 842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.24 : 1,130.79 = 610.12 : x
  2. Step 2: Convert to fraction form
    819.24/1,130.79 = 610.12/x
  3. Step 3: Cross multiply
    819.24x = 1,130.79 × 610.12
  4. Step 4: Simplify right side
    819.24x = 689,917.59
  5. Step 5: Solve for x
    x = 689,917.59/819.24
  6. Step 6: Final answer
    x = 842.14

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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.