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Finding the Fourth Proportional to 1,392.62, 2,089.26 and 418.73

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Solution

The fourth proportional to 1,392.62, 2,089.26 and 418.73 is: 628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.62 : 2,089.26 = 418.73 : x
  2. Step 2: Convert to fraction form
    1,392.62/2,089.26 = 418.73/x
  3. Step 3: Cross multiply
    1,392.62x = 2,089.26 × 418.73
  4. Step 4: Simplify right side
    1,392.62x = 874,825.39
  5. Step 5: Solve for x
    x = 874,825.39/1,392.62
  6. Step 6: Final answer
    x = 628.19

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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.