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Finding the Fourth Proportional to 1,704.70, 2,557.03 and 472.06

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Solution

The fourth proportional to 1,704.70, 2,557.03 and 472.06 is: 708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.70 : 2,557.03 = 472.06 : x
  2. Step 2: Convert to fraction form
    1,704.70/2,557.03 = 472.06/x
  3. Step 3: Cross multiply
    1,704.70x = 2,557.03 × 472.06
  4. Step 4: Simplify right side
    1,704.70x = 1,207,073.16
  5. Step 5: Solve for x
    x = 1,207,073.16/1,704.70
  6. Step 6: Final answer
    x = 708.09

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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.