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Finding the Fourth Proportional to 596.97, 893.12 and 516.69

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Solution

The fourth proportional to 596.97, 893.12 and 516.69 is: 773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.97 : 893.12 = 516.69 : x
  2. Step 2: Convert to fraction form
    596.97/893.12 = 516.69/x
  3. Step 3: Cross multiply
    596.97x = 893.12 × 516.69
  4. Step 4: Simplify right side
    596.97x = 461,463.59
  5. Step 5: Solve for x
    x = 461,463.59/596.97
  6. Step 6: Final answer
    x = 773.01

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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.