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Finding the Fourth Proportional to 909.50, 1,255.12 and 516.52

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Solution

The fourth proportional to 909.50, 1,255.12 and 516.52 is: 712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.50 : 1,255.12 = 516.52 : x
  2. Step 2: Convert to fraction form
    909.50/1,255.12 = 516.52/x
  3. Step 3: Cross multiply
    909.50x = 1,255.12 × 516.52
  4. Step 4: Simplify right side
    909.50x = 648,290.15
  5. Step 5: Solve for x
    x = 648,290.15/909.50
  6. Step 6: Final answer
    x = 712.80

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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.