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Finding the Fourth Proportional to 1,102.00, 1,520.27 and 682.24

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Solution

The fourth proportional to 1,102.00, 1,520.27 and 682.24 is: 941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.00 : 1,520.27 = 682.24 : x
  2. Step 2: Convert to fraction form
    1,102.00/1,520.27 = 682.24/x
  3. Step 3: Cross multiply
    1,102.00x = 1,520.27 × 682.24
  4. Step 4: Simplify right side
    1,102.00x = 1,037,183.11
  5. Step 5: Solve for x
    x = 1,037,183.11/1,102.00
  6. Step 6: Final answer
    x = 941.19

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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.