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Finding the Fourth Proportional to 1,192.46, 1,644.89 and 695.03

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Solution

The fourth proportional to 1,192.46, 1,644.89 and 695.03 is: 958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.46 : 1,644.89 = 695.03 : x
  2. Step 2: Convert to fraction form
    1,192.46/1,644.89 = 695.03/x
  3. Step 3: Cross multiply
    1,192.46x = 1,644.89 × 695.03
  4. Step 4: Simplify right side
    1,192.46x = 1,143,236.20
  5. Step 5: Solve for x
    x = 1,143,236.20/1,192.46
  6. Step 6: Final answer
    x = 958.72

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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.