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Finding the Fourth Proportional to 513.73, 766.33 and 459.06

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Solution

The fourth proportional to 513.73, 766.33 and 459.06 is: 684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.73 : 766.33 = 459.06 : x
  2. Step 2: Convert to fraction form
    513.73/766.33 = 459.06/x
  3. Step 3: Cross multiply
    513.73x = 766.33 × 459.06
  4. Step 4: Simplify right side
    513.73x = 351,791.45
  5. Step 5: Solve for x
    x = 351,791.45/513.73
  6. Step 6: Final answer
    x = 684.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.