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Finding the Fourth Proportional to 516.99, 708.83 and 512.13

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Solution

The fourth proportional to 516.99, 708.83 and 512.13 is: 702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.99 : 708.83 = 512.13 : x
  2. Step 2: Convert to fraction form
    516.99/708.83 = 512.13/x
  3. Step 3: Cross multiply
    516.99x = 708.83 × 512.13
  4. Step 4: Simplify right side
    516.99x = 363,014.39
  5. Step 5: Solve for x
    x = 363,014.39/516.99
  6. Step 6: Final answer
    x = 702.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.