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Finding the Fourth Proportional to 1,704.83, 2,557.30 and 664.79

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Solution

The fourth proportional to 1,704.83, 2,557.30 and 664.79 is: 997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.83 : 2,557.30 = 664.79 : x
  2. Step 2: Convert to fraction form
    1,704.83/2,557.30 = 664.79/x
  3. Step 3: Cross multiply
    1,704.83x = 2,557.30 × 664.79
  4. Step 4: Simplify right side
    1,704.83x = 1,700,066.78
  5. Step 5: Solve for x
    x = 1,700,066.78/1,704.83
  6. Step 6: Final answer
    x = 997.21

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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.