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Finding the Fourth Proportional to 815.68, 1,221.14 and 506.60

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Solution

The fourth proportional to 815.68, 1,221.14 and 506.60 is: 758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.68 : 1,221.14 = 506.60 : x
  2. Step 2: Convert to fraction form
    815.68/1,221.14 = 506.60/x
  3. Step 3: Cross multiply
    815.68x = 1,221.14 × 506.60
  4. Step 4: Simplify right side
    815.68x = 618,629.52
  5. Step 5: Solve for x
    x = 618,629.52/815.68
  6. Step 6: Final answer
    x = 758.42

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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.