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Finding the Fourth Proportional to 1,096.12, 1,512.03 and 764.83

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Solution

The fourth proportional to 1,096.12, 1,512.03 and 764.83 is: 1,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.12 : 1,512.03 = 764.83 : x
  2. Step 2: Convert to fraction form
    1,096.12/1,512.03 = 764.83/x
  3. Step 3: Cross multiply
    1,096.12x = 1,512.03 × 764.83
  4. Step 4: Simplify right side
    1,096.12x = 1,156,445.90
  5. Step 5: Solve for x
    x = 1,156,445.90/1,096.12
  6. Step 6: Final answer
    x = 1,055.04

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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.