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Finding the Fourth Proportional to 727.08, 1,090.89 and 337.27

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Solution

The fourth proportional to 727.08, 1,090.89 and 337.27 is: 506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.08 : 1,090.89 = 337.27 : x
  2. Step 2: Convert to fraction form
    727.08/1,090.89 = 337.27/x
  3. Step 3: Cross multiply
    727.08x = 1,090.89 × 337.27
  4. Step 4: Simplify right side
    727.08x = 367,921.74
  5. Step 5: Solve for x
    x = 367,921.74/727.08
  6. Step 6: Final answer
    x = 506.03

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