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Finding the Fourth Proportional to 909.72, 1,255.14 and 516.74

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Solution

The fourth proportional to 909.72, 1,255.14 and 516.74 is: 712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.72 : 1,255.14 = 516.74 : x
  2. Step 2: Convert to fraction form
    909.72/1,255.14 = 516.74/x
  3. Step 3: Cross multiply
    909.72x = 1,255.14 × 516.74
  4. Step 4: Simplify right side
    909.72x = 648,581.04
  5. Step 5: Solve for x
    x = 648,581.04/909.72
  6. Step 6: Final answer
    x = 712.95

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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.