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Finding the Fourth Proportional to 737.74, 1,106.84 and 413.34

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Solution

The fourth proportional to 737.74, 1,106.84 and 413.34 is: 620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.74 : 1,106.84 = 413.34 : x
  2. Step 2: Convert to fraction form
    737.74/1,106.84 = 413.34/x
  3. Step 3: Cross multiply
    737.74x = 1,106.84 × 413.34
  4. Step 4: Simplify right side
    737.74x = 457,501.25
  5. Step 5: Solve for x
    x = 457,501.25/737.74
  6. Step 6: Final answer
    x = 620.14

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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.