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Finding the Fourth Proportional to 1,553.94, 2,329.81 and 629.22

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Solution

The fourth proportional to 1,553.94, 2,329.81 and 629.22 is: 943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.94 : 2,329.81 = 629.22 : x
  2. Step 2: Convert to fraction form
    1,553.94/2,329.81 = 629.22/x
  3. Step 3: Cross multiply
    1,553.94x = 2,329.81 × 629.22
  4. Step 4: Simplify right side
    1,553.94x = 1,465,963.05
  5. Step 5: Solve for x
    x = 1,465,963.05/1,553.94
  6. Step 6: Final answer
    x = 943.38

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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.