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Finding the Fourth Proportional to 737.26, 1,106.70 and 413.26

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Solution

The fourth proportional to 737.26, 1,106.70 and 413.26 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.26 : 1,106.70 = 413.26 : x
  2. Step 2: Convert to fraction form
    737.26/1,106.70 = 413.26/x
  3. Step 3: Cross multiply
    737.26x = 1,106.70 × 413.26
  4. Step 4: Simplify right side
    737.26x = 457,354.84
  5. Step 5: Solve for x
    x = 457,354.84/737.26
  6. Step 6: Final answer
    x = 620.34

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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.