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Finding the Fourth Proportional to 909.50, 1,255.03 and 516.54

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Solution

The fourth proportional to 909.50, 1,255.03 and 516.54 is: 712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.50 : 1,255.03 = 516.54 : x
  2. Step 2: Convert to fraction form
    909.50/1,255.03 = 516.54/x
  3. Step 3: Cross multiply
    909.50x = 1,255.03 × 516.54
  4. Step 4: Simplify right side
    909.50x = 648,276.61
  5. Step 5: Solve for x
    x = 648,276.61/909.50
  6. Step 6: Final answer
    x = 712.79

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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.