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Finding the Fourth Proportional to 727.56, 1,090.26 and 453.96

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Solution

The fourth proportional to 727.56, 1,090.26 and 453.96 is: 680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.56 : 1,090.26 = 453.96 : x
  2. Step 2: Convert to fraction form
    727.56/1,090.26 = 453.96/x
  3. Step 3: Cross multiply
    727.56x = 1,090.26 × 453.96
  4. Step 4: Simplify right side
    727.56x = 494,934.43
  5. Step 5: Solve for x
    x = 494,934.43/727.56
  6. Step 6: Final answer
    x = 680.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.