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Finding the Fourth Proportional to 816.55, 1,224.42 and 523.54

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Solution

The fourth proportional to 816.55, 1,224.42 and 523.54 is: 785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.55 : 1,224.42 = 523.54 : x
  2. Step 2: Convert to fraction form
    816.55/1,224.42 = 523.54/x
  3. Step 3: Cross multiply
    816.55x = 1,224.42 × 523.54
  4. Step 4: Simplify right side
    816.55x = 641,032.85
  5. Step 5: Solve for x
    x = 641,032.85/816.55
  6. Step 6: Final answer
    x = 785.05

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Why These Related Problems?

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