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Finding the Fourth Proportional to 1,102, 1,520.74 and 629.92

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Solution

The fourth proportional to 1,102, 1,520.74 and 629.92 is: 869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102 : 1,520.74 = 629.92 : x
  2. Step 2: Convert to fraction form
    1,102/1,520.74 = 629.92/x
  3. Step 3: Cross multiply
    1,102x = 1,520.74 × 629.92
  4. Step 4: Simplify right side
    1,102x = 957,944.54
  5. Step 5: Solve for x
    x = 957,944.54/1,102
  6. Step 6: Final answer
    x = 869.28

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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.