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Finding the Fourth Proportional to 1,191.49, 1,643.01 and 942.41

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Solution

The fourth proportional to 1,191.49, 1,643.01 and 942.41 is: 1,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.49 : 1,643.01 = 942.41 : x
  2. Step 2: Convert to fraction form
    1,191.49/1,643.01 = 942.41/x
  3. Step 3: Cross multiply
    1,191.49x = 1,643.01 × 942.41
  4. Step 4: Simplify right side
    1,191.49x = 1,548,389.05
  5. Step 5: Solve for x
    x = 1,548,389.05/1,191.49
  6. Step 6: Final answer
    x = 1,299.54

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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.