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Finding the Fourth Proportional to 909.32, 1,254.86 and 516.33

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Solution

The fourth proportional to 909.32, 1,254.86 and 516.33 is: 712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.32 : 1,254.86 = 516.33 : x
  2. Step 2: Convert to fraction form
    909.32/1,254.86 = 516.33/x
  3. Step 3: Cross multiply
    909.32x = 1,254.86 × 516.33
  4. Step 4: Simplify right side
    909.32x = 647,919.28
  5. Step 5: Solve for x
    x = 647,919.28/909.32
  6. Step 6: Final answer
    x = 712.54

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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.