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Finding the Fourth Proportional to 909.31, 1,254.81 and 516.36

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Solution

The fourth proportional to 909.31, 1,254.81 and 516.36 is: 712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.31 : 1,254.81 = 516.36 : x
  2. Step 2: Convert to fraction form
    909.31/1,254.81 = 516.36/x
  3. Step 3: Cross multiply
    909.31x = 1,254.81 × 516.36
  4. Step 4: Simplify right side
    909.31x = 647,933.69
  5. Step 5: Solve for x
    x = 647,933.69/909.31
  6. Step 6: Final answer
    x = 712.56

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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.