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Finding the Fourth Proportional to 737.82, 1,106.55 and 275.64

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Solution

The fourth proportional to 737.82, 1,106.55 and 275.64 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.82 : 1,106.55 = 275.64 : x
  2. Step 2: Convert to fraction form
    737.82/1,106.55 = 275.64/x
  3. Step 3: Cross multiply
    737.82x = 1,106.55 × 275.64
  4. Step 4: Simplify right side
    737.82x = 305,009.44
  5. Step 5: Solve for x
    x = 305,009.44/737.82
  6. Step 6: Final answer
    x = 413.39

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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.