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Finding the Fourth Proportional to 1,202.36, 1,660.01 and 981.83

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Solution

The fourth proportional to 1,202.36, 1,660.01 and 981.83 is: 1,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.36 : 1,660.01 = 981.83 : x
  2. Step 2: Convert to fraction form
    1,202.36/1,660.01 = 981.83/x
  3. Step 3: Cross multiply
    1,202.36x = 1,660.01 × 981.83
  4. Step 4: Simplify right side
    1,202.36x = 1,629,834.41
  5. Step 5: Solve for x
    x = 1,629,834.41/1,202.36
  6. Step 6: Final answer
    x = 1,355.54

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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.