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Finding the Fourth Proportional to 727.28, 1,090.32 and 686.53

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Solution

The fourth proportional to 727.28, 1,090.32 and 686.53 is: 1,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.28 : 1,090.32 = 686.53 : x
  2. Step 2: Convert to fraction form
    727.28/1,090.32 = 686.53/x
  3. Step 3: Cross multiply
    727.28x = 1,090.32 × 686.53
  4. Step 4: Simplify right side
    727.28x = 748,537.39
  5. Step 5: Solve for x
    x = 748,537.39/727.28
  6. Step 6: Final answer
    x = 1,029.23

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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.