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Finding the Fourth Proportional to 1,096.56, 1,512.81 and 654.21

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Solution

The fourth proportional to 1,096.56, 1,512.81 and 654.21 is: 902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.56 : 1,512.81 = 654.21 : x
  2. Step 2: Convert to fraction form
    1,096.56/1,512.81 = 654.21/x
  3. Step 3: Cross multiply
    1,096.56x = 1,512.81 × 654.21
  4. Step 4: Simplify right side
    1,096.56x = 989,695.43
  5. Step 5: Solve for x
    x = 989,695.43/1,096.56
  6. Step 6: Final answer
    x = 902.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.