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Finding the Fourth Proportional to 1,616.59, 2,426.09 and 629.56

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Solution

The fourth proportional to 1,616.59, 2,426.09 and 629.56 is: 944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.59 : 2,426.09 = 629.56 : x
  2. Step 2: Convert to fraction form
    1,616.59/2,426.09 = 629.56/x
  3. Step 3: Cross multiply
    1,616.59x = 2,426.09 × 629.56
  4. Step 4: Simplify right side
    1,616.59x = 1,527,369.22
  5. Step 5: Solve for x
    x = 1,527,369.22/1,616.59
  6. Step 6: Final answer
    x = 944.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.