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Finding the Fourth Proportional to 613.73, 923.55 and 504.83

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Solution

The fourth proportional to 613.73, 923.55 and 504.83 is: 759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.73 : 923.55 = 504.83 : x
  2. Step 2: Convert to fraction form
    613.73/923.55 = 504.83/x
  3. Step 3: Cross multiply
    613.73x = 923.55 × 504.83
  4. Step 4: Simplify right side
    613.73x = 466,239.00
  5. Step 5: Solve for x
    x = 466,239.00/613.73
  6. Step 6: Final answer
    x = 759.68

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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.