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Finding the Fourth Proportional to 738.22, 1,107.33 and 413.21

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Solution

The fourth proportional to 738.22, 1,107.33 and 413.21 is: 619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.22 : 1,107.33 = 413.21 : x
  2. Step 2: Convert to fraction form
    738.22/1,107.33 = 413.21/x
  3. Step 3: Cross multiply
    738.22x = 1,107.33 × 413.21
  4. Step 4: Simplify right side
    738.22x = 457,559.83
  5. Step 5: Solve for x
    x = 457,559.83/738.22
  6. Step 6: Final answer
    x = 619.82

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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.