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Finding the Fourth Proportional to 518.45, 705.87 and 516.83

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Solution

The fourth proportional to 518.45, 705.87 and 516.83 is: 703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.45 : 705.87 = 516.83 : x
  2. Step 2: Convert to fraction form
    518.45/705.87 = 516.83/x
  3. Step 3: Cross multiply
    518.45x = 705.87 × 516.83
  4. Step 4: Simplify right side
    518.45x = 364,811.26
  5. Step 5: Solve for x
    x = 364,811.26/518.45
  6. Step 6: Final answer
    x = 703.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.