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Finding the Fourth Proportional to 812.18, 1,120.56 and 575.94

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Solution

The fourth proportional to 812.18, 1,120.56 and 575.94 is: 794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.18 : 1,120.56 = 575.94 : x
  2. Step 2: Convert to fraction form
    812.18/1,120.56 = 575.94/x
  3. Step 3: Cross multiply
    812.18x = 1,120.56 × 575.94
  4. Step 4: Simplify right side
    812.18x = 645,375.33
  5. Step 5: Solve for x
    x = 645,375.33/812.18
  6. Step 6: Final answer
    x = 794.62

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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.