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Finding the Fourth Proportional to 738.81, 1,107.14 and 413.73

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Solution

The fourth proportional to 738.81, 1,107.14 and 413.73 is: 619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.81 : 1,107.14 = 413.73 : x
  2. Step 2: Convert to fraction form
    738.81/1,107.14 = 413.73/x
  3. Step 3: Cross multiply
    738.81x = 1,107.14 × 413.73
  4. Step 4: Simplify right side
    738.81x = 458,054.96
  5. Step 5: Solve for x
    x = 458,054.96/738.81
  6. Step 6: Final answer
    x = 619.99

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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.