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Finding the Fourth Proportional to 909.75, 1,255.29 and 516.70

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Solution

The fourth proportional to 909.75, 1,255.29 and 516.70 is: 712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.75 : 1,255.29 = 516.70 : x
  2. Step 2: Convert to fraction form
    909.75/1,255.29 = 516.70/x
  3. Step 3: Cross multiply
    909.75x = 1,255.29 × 516.70
  4. Step 4: Simplify right side
    909.75x = 648,602.07
  5. Step 5: Solve for x
    x = 648,602.07/909.75
  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.