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Finding the Fourth Proportional to 738.62, 1,106.94 and 413.36

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Solution

The fourth proportional to 738.62, 1,106.94 and 413.36 is: 619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.62 : 1,106.94 = 413.36 : x
  2. Step 2: Convert to fraction form
    738.62/1,106.94 = 413.36/x
  3. Step 3: Cross multiply
    738.62x = 1,106.94 × 413.36
  4. Step 4: Simplify right side
    738.62x = 457,564.72
  5. Step 5: Solve for x
    x = 457,564.72/738.62
  6. Step 6: Final answer
    x = 619.49

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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.