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Finding the Fourth Proportional to 909.55, 1,255.15 and 516.56

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Solution

The fourth proportional to 909.55, 1,255.15 and 516.56 is: 712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.55 : 1,255.15 = 516.56 : x
  2. Step 2: Convert to fraction form
    909.55/1,255.15 = 516.56/x
  3. Step 3: Cross multiply
    909.55x = 1,255.15 × 516.56
  4. Step 4: Simplify right side
    909.55x = 648,362.13
  5. Step 5: Solve for x
    x = 648,362.13/909.55
  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.