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Finding the Fourth Proportional to 815.13, 1,222.83 and 352.82

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Solution

The fourth proportional to 815.13, 1,222.83 and 352.82 is: 529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.13 : 1,222.83 = 352.82 : x
  2. Step 2: Convert to fraction form
    815.13/1,222.83 = 352.82/x
  3. Step 3: Cross multiply
    815.13x = 1,222.83 × 352.82
  4. Step 4: Simplify right side
    815.13x = 431,441.94
  5. Step 5: Solve for x
    x = 431,441.94/815.13
  6. Step 6: Final answer
    x = 529.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.