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Finding the Fourth Proportional to 910.05, 1,255.83 and 516.99

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Solution

The fourth proportional to 910.05, 1,255.83 and 516.99 is: 713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.05 : 1,255.83 = 516.99 : x
  2. Step 2: Convert to fraction form
    910.05/1,255.83 = 516.99/x
  3. Step 3: Cross multiply
    910.05x = 1,255.83 × 516.99
  4. Step 4: Simplify right side
    910.05x = 649,251.55
  5. Step 5: Solve for x
    x = 649,251.55/910.05
  6. Step 6: Final answer
    x = 713.42

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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.