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Finding the Fourth Proportional to 1,704.94, 2,557.81 and 550.69

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Solution

The fourth proportional to 1,704.94, 2,557.81 and 550.69 is: 826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.94 : 2,557.81 = 550.69 : x
  2. Step 2: Convert to fraction form
    1,704.94/2,557.81 = 550.69/x
  3. Step 3: Cross multiply
    1,704.94x = 2,557.81 × 550.69
  4. Step 4: Simplify right side
    1,704.94x = 1,408,554.68
  5. Step 5: Solve for x
    x = 1,408,554.68/1,704.94
  6. Step 6: Final answer
    x = 826.16

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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.