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Finding the Fourth Proportional to 727.06, 1,090.97 and 398.24

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Solution

The fourth proportional to 727.06, 1,090.97 and 398.24 is: 597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.06 : 1,090.97 = 398.24 : x
  2. Step 2: Convert to fraction form
    727.06/1,090.97 = 398.24/x
  3. Step 3: Cross multiply
    727.06x = 1,090.97 × 398.24
  4. Step 4: Simplify right side
    727.06x = 434,462.44
  5. Step 5: Solve for x
    x = 434,462.44/727.06
  6. Step 6: Final answer
    x = 597.56

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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.