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Finding the Fourth Proportional to 1,776.26, 2,664.51 and 605.78

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Solution

The fourth proportional to 1,776.26, 2,664.51 and 605.78 is: 908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.26 : 2,664.51 = 605.78 : x
  2. Step 2: Convert to fraction form
    1,776.26/2,664.51 = 605.78/x
  3. Step 3: Cross multiply
    1,776.26x = 2,664.51 × 605.78
  4. Step 4: Simplify right side
    1,776.26x = 1,614,106.87
  5. Step 5: Solve for x
    x = 1,614,106.87/1,776.26
  6. Step 6: Final answer
    x = 908.71

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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.