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Finding the Fourth Proportional to 649.07, 896.34 and 516.23

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Solution

The fourth proportional to 649.07, 896.34 and 516.23 is: 712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.07 : 896.34 = 516.23 : x
  2. Step 2: Convert to fraction form
    649.07/896.34 = 516.23/x
  3. Step 3: Cross multiply
    649.07x = 896.34 × 516.23
  4. Step 4: Simplify right side
    649.07x = 462,713.12
  5. Step 5: Solve for x
    x = 462,713.12/649.07
  6. Step 6: Final answer
    x = 712.89

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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.