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Finding the Fourth Proportional to 738.61, 1,106.82 and 276.26

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Solution

The fourth proportional to 738.61, 1,106.82 and 276.26 is: 413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.61 : 1,106.82 = 276.26 : x
  2. Step 2: Convert to fraction form
    738.61/1,106.82 = 276.26/x
  3. Step 3: Cross multiply
    738.61x = 1,106.82 × 276.26
  4. Step 4: Simplify right side
    738.61x = 305,764.56
  5. Step 5: Solve for x
    x = 305,764.56/738.61
  6. Step 6: Final answer
    x = 413.97

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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.