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Finding the Fourth Proportional to 909.24, 1,254.77 and 516.26

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Solution

The fourth proportional to 909.24, 1,254.77 and 516.26 is: 712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.24 : 1,254.77 = 516.26 : x
  2. Step 2: Convert to fraction form
    909.24/1,254.77 = 516.26/x
  3. Step 3: Cross multiply
    909.24x = 1,254.77 × 516.26
  4. Step 4: Simplify right side
    909.24x = 647,778.71
  5. Step 5: Solve for x
    x = 647,778.71/909.24
  6. Step 6: Final answer
    x = 712.44

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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.