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Finding the Fourth Proportional to 727.19, 1,090.27 and 336.97

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Solution

The fourth proportional to 727.19, 1,090.27 and 336.97 is: 505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.19 : 1,090.27 = 336.97 : x
  2. Step 2: Convert to fraction form
    727.19/1,090.27 = 336.97/x
  3. Step 3: Cross multiply
    727.19x = 1,090.27 × 336.97
  4. Step 4: Simplify right side
    727.19x = 367,384.71
  5. Step 5: Solve for x
    x = 367,384.71/727.19
  6. Step 6: Final answer
    x = 505.21

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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.