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Finding the Fourth Proportional to 603.92, 834 and 516.08

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Solution

The fourth proportional to 603.92, 834 and 516.08 is: 712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.92 : 834 = 516.08 : x
  2. Step 2: Convert to fraction form
    603.92/834 = 516.08/x
  3. Step 3: Cross multiply
    603.92x = 834 × 516.08
  4. Step 4: Simplify right side
    603.92x = 430,410.72
  5. Step 5: Solve for x
    x = 430,410.72/603.92
  6. Step 6: Final answer
    x = 712.69

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