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Finding the Fourth Proportional to 799.46, 1,103.67 and 516.05

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Solution

The fourth proportional to 799.46, 1,103.67 and 516.05 is: 712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.46 : 1,103.67 = 516.05 : x
  2. Step 2: Convert to fraction form
    799.46/1,103.67 = 516.05/x
  3. Step 3: Cross multiply
    799.46x = 1,103.67 × 516.05
  4. Step 4: Simplify right side
    799.46x = 569,543.39
  5. Step 5: Solve for x
    x = 569,543.39/799.46
  6. Step 6: Final answer
    x = 712.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.