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Finding the Fourth Proportional to 1,191.70, 1,644.46 and 694.56

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Solution

The fourth proportional to 1,191.70, 1,644.46 and 694.56 is: 958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.70 : 1,644.46 = 694.56 : x
  2. Step 2: Convert to fraction form
    1,191.70/1,644.46 = 694.56/x
  3. Step 3: Cross multiply
    1,191.70x = 1,644.46 × 694.56
  4. Step 4: Simplify right side
    1,191.70x = 1,142,176.14
  5. Step 5: Solve for x
    x = 1,142,176.14/1,191.70
  6. Step 6: Final answer
    x = 958.44

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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.