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Finding the Fourth Proportional to 1,288.72, 1,777.12 and 1,102.83

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Solution

The fourth proportional to 1,288.72, 1,777.12 and 1,102.83 is: 1,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.72 : 1,777.12 = 1,102.83 : x
  2. Step 2: Convert to fraction form
    1,288.72/1,777.12 = 1,102.83/x
  3. Step 3: Cross multiply
    1,288.72x = 1,777.12 × 1,102.83
  4. Step 4: Simplify right side
    1,288.72x = 1,959,861.25
  5. Step 5: Solve for x
    x = 1,959,861.25/1,288.72
  6. Step 6: Final answer
    x = 1,520.78

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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.