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Finding the Fourth Proportional to 737.56, 1,106.34 and 413.08

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Solution

The fourth proportional to 737.56, 1,106.34 and 413.08 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.56 : 1,106.34 = 413.08 : x
  2. Step 2: Convert to fraction form
    737.56/1,106.34 = 413.08/x
  3. Step 3: Cross multiply
    737.56x = 1,106.34 × 413.08
  4. Step 4: Simplify right side
    737.56x = 457,006.93
  5. Step 5: Solve for x
    x = 457,006.93/737.56
  6. Step 6: Final answer
    x = 619.62

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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.