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Finding the Fourth Proportional to 1,102.24, 1,520.67 and 682.83

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Solution

The fourth proportional to 1,102.24, 1,520.67 and 682.83 is: 942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.24 : 1,520.67 = 682.83 : x
  2. Step 2: Convert to fraction form
    1,102.24/1,520.67 = 682.83/x
  3. Step 3: Cross multiply
    1,102.24x = 1,520.67 × 682.83
  4. Step 4: Simplify right side
    1,102.24x = 1,038,361.66
  5. Step 5: Solve for x
    x = 1,038,361.66/1,102.24
  6. Step 6: Final answer
    x = 942.05

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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.