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Finding the Fourth Proportional to 1,496.13, 2,243.64 and 629.97

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Solution

The fourth proportional to 1,496.13, 2,243.64 and 629.97 is: 944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.13 : 2,243.64 = 629.97 : x
  2. Step 2: Convert to fraction form
    1,496.13/2,243.64 = 629.97/x
  3. Step 3: Cross multiply
    1,496.13x = 2,243.64 × 629.97
  4. Step 4: Simplify right side
    1,496.13x = 1,413,425.89
  5. Step 5: Solve for x
    x = 1,413,425.89/1,496.13
  6. Step 6: Final answer
    x = 944.72

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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.