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Finding the Fourth Proportional to 1,105.87, 1,659.89 and 902.83

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Solution

The fourth proportional to 1,105.87, 1,659.89 and 902.83 is: 1,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.87 : 1,659.89 = 902.83 : x
  2. Step 2: Convert to fraction form
    1,105.87/1,659.89 = 902.83/x
  3. Step 3: Cross multiply
    1,105.87x = 1,659.89 × 902.83
  4. Step 4: Simplify right side
    1,105.87x = 1,498,598.49
  5. Step 5: Solve for x
    x = 1,498,598.49/1,105.87
  6. Step 6: Final answer
    x = 1,355.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.