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Finding the Fourth Proportional to 815.60, 1,221.24 and 490.52

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Solution

The fourth proportional to 815.60, 1,221.24 and 490.52 is: 734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.60 : 1,221.24 = 490.52 : x
  2. Step 2: Convert to fraction form
    815.60/1,221.24 = 490.52/x
  3. Step 3: Cross multiply
    815.60x = 1,221.24 × 490.52
  4. Step 4: Simplify right side
    815.60x = 599,042.64
  5. Step 5: Solve for x
    x = 599,042.64/815.60
  6. Step 6: Final answer
    x = 734.48

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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.