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Finding the Fourth Proportional to 1,191.46, 1,644.37 and 694.12

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Solution

The fourth proportional to 1,191.46, 1,644.37 and 694.12 is: 957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.46 : 1,644.37 = 694.12 : x
  2. Step 2: Convert to fraction form
    1,191.46/1,644.37 = 694.12/x
  3. Step 3: Cross multiply
    1,191.46x = 1,644.37 × 694.12
  4. Step 4: Simplify right side
    1,191.46x = 1,141,381.88
  5. Step 5: Solve for x
    x = 1,141,381.88/1,191.46
  6. Step 6: Final answer
    x = 957.97

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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.