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Finding the Fourth Proportional to 613.89, 919.20 and 506.16

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Solution

The fourth proportional to 613.89, 919.20 and 506.16 is: 757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.89 : 919.20 = 506.16 : x
  2. Step 2: Convert to fraction form
    613.89/919.20 = 506.16/x
  3. Step 3: Cross multiply
    613.89x = 919.20 × 506.16
  4. Step 4: Simplify right side
    613.89x = 465,262.27
  5. Step 5: Solve for x
    x = 465,262.27/613.89
  6. Step 6: Final answer
    x = 757.89

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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.