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Finding the Fourth Proportional to 727.12, 1,090.61 and 362.15

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Solution

The fourth proportional to 727.12, 1,090.61 and 362.15 is: 543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.12 : 1,090.61 = 362.15 : x
  2. Step 2: Convert to fraction form
    727.12/1,090.61 = 362.15/x
  3. Step 3: Cross multiply
    727.12x = 1,090.61 × 362.15
  4. Step 4: Simplify right side
    727.12x = 394,964.41
  5. Step 5: Solve for x
    x = 394,964.41/727.12
  6. Step 6: Final answer
    x = 543.19

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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.