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Finding the Fourth Proportional to 1,704.10, 2,555.79 and 471.19

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Solution

The fourth proportional to 1,704.10, 2,555.79 and 471.19 is: 706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.10 : 2,555.79 = 471.19 : x
  2. Step 2: Convert to fraction form
    1,704.10/2,555.79 = 471.19/x
  3. Step 3: Cross multiply
    1,704.10x = 2,555.79 × 471.19
  4. Step 4: Simplify right side
    1,704.10x = 1,204,262.69
  5. Step 5: Solve for x
    x = 1,204,262.69/1,704.10
  6. Step 6: Final answer
    x = 706.69

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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.