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Finding the Fourth Proportional to 513.69, 766.58 and 459

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Solution

The fourth proportional to 513.69, 766.58 and 459 is: 684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.69 : 766.58 = 459 : x
  2. Step 2: Convert to fraction form
    513.69/766.58 = 459/x
  3. Step 3: Cross multiply
    513.69x = 766.58 × 459
  4. Step 4: Simplify right side
    513.69x = 351,857.93
  5. Step 5: Solve for x
    x = 351,857.93/513.69
  6. Step 6: Final answer
    x = 684.96

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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.