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Finding the Fourth Proportional to 1,089.43, 1,634.33 and 396.14

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Solution

The fourth proportional to 1,089.43, 1,634.33 and 396.14 is: 594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.43 : 1,634.33 = 396.14 : x
  2. Step 2: Convert to fraction form
    1,089.43/1,634.33 = 396.14/x
  3. Step 3: Cross multiply
    1,089.43x = 1,634.33 × 396.14
  4. Step 4: Simplify right side
    1,089.43x = 647,413.33
  5. Step 5: Solve for x
    x = 647,413.33/1,089.43
  6. Step 6: Final answer
    x = 594.27

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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.