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Finding the Fourth Proportional to 909.58, 1,255.24 and 516.66

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Solution

The fourth proportional to 909.58, 1,255.24 and 516.66 is: 713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.58 : 1,255.24 = 516.66 : x
  2. Step 2: Convert to fraction form
    909.58/1,255.24 = 516.66/x
  3. Step 3: Cross multiply
    909.58x = 1,255.24 × 516.66
  4. Step 4: Simplify right side
    909.58x = 648,532.94
  5. Step 5: Solve for x
    x = 648,532.94/909.58
  6. Step 6: Final answer
    x = 713.00

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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.