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Finding the Fourth Proportional to 909.47, 1,255.23 and 516.49

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Solution

The fourth proportional to 909.47, 1,255.23 and 516.49 is: 712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.47 : 1,255.23 = 516.49 : x
  2. Step 2: Convert to fraction form
    909.47/1,255.23 = 516.49/x
  3. Step 3: Cross multiply
    909.47x = 1,255.23 × 516.49
  4. Step 4: Simplify right side
    909.47x = 648,310.60
  5. Step 5: Solve for x
    x = 648,310.60/909.47
  6. Step 6: Final answer
    x = 712.84

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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.