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Finding the Fourth Proportional to 815.57, 1,224.26 and 404.60

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Solution

The fourth proportional to 815.57, 1,224.26 and 404.60 is: 607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.57 : 1,224.26 = 404.60 : x
  2. Step 2: Convert to fraction form
    815.57/1,224.26 = 404.60/x
  3. Step 3: Cross multiply
    815.57x = 1,224.26 × 404.60
  4. Step 4: Simplify right side
    815.57x = 495,331.24
  5. Step 5: Solve for x
    x = 495,331.24/815.57
  6. Step 6: Final answer
    x = 607.34

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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.