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Finding the Fourth Proportional to 815.13, 1,220.87 and 540.54

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Solution

The fourth proportional to 815.13, 1,220.87 and 540.54 is: 809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.13 : 1,220.87 = 540.54 : x
  2. Step 2: Convert to fraction form
    815.13/1,220.87 = 540.54/x
  3. Step 3: Cross multiply
    815.13x = 1,220.87 × 540.54
  4. Step 4: Simplify right side
    815.13x = 659,930.42
  5. Step 5: Solve for x
    x = 659,930.42/815.13
  6. Step 6: Final answer
    x = 809.60

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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.