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Finding the Fourth Proportional to 942.05, 1,410.11 and 843.00

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Solution

The fourth proportional to 942.05, 1,410.11 and 843.00 is: 1,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.05 : 1,410.11 = 843.00 : x
  2. Step 2: Convert to fraction form
    942.05/1,410.11 = 843.00/x
  3. Step 3: Cross multiply
    942.05x = 1,410.11 × 843.00
  4. Step 4: Simplify right side
    942.05x = 1,188,716.39
  5. Step 5: Solve for x
    x = 1,188,716.39/942.05
  6. Step 6: Final answer
    x = 1,261.84

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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.