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Finding the Fourth Proportional to 698.82, 1,047.01 and 516.57

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Solution

The fourth proportional to 698.82, 1,047.01 and 516.57 is: 773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.82 : 1,047.01 = 516.57 : x
  2. Step 2: Convert to fraction form
    698.82/1,047.01 = 516.57/x
  3. Step 3: Cross multiply
    698.82x = 1,047.01 × 516.57
  4. Step 4: Simplify right side
    698.82x = 540,846.14
  5. Step 5: Solve for x
    x = 540,846.14/698.82
  6. Step 6: Final answer
    x = 773.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.