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Finding the Fourth Proportional to 727.28, 1,090.75 and 207.27

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Solution

The fourth proportional to 727.28, 1,090.75 and 207.27 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.28 : 1,090.75 = 207.27 : x
  2. Step 2: Convert to fraction form
    727.28/1,090.75 = 207.27/x
  3. Step 3: Cross multiply
    727.28x = 1,090.75 × 207.27
  4. Step 4: Simplify right side
    727.28x = 226,075.14
  5. Step 5: Solve for x
    x = 226,075.14/727.28
  6. Step 6: Final answer
    x = 310.85

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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.