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Finding the Fourth Proportional to 722.46, 1,083.15 and 413.58

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Solution

The fourth proportional to 722.46, 1,083.15 and 413.58 is: 620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.46 : 1,083.15 = 413.58 : x
  2. Step 2: Convert to fraction form
    722.46/1,083.15 = 413.58/x
  3. Step 3: Cross multiply
    722.46x = 1,083.15 × 413.58
  4. Step 4: Simplify right side
    722.46x = 447,969.18
  5. Step 5: Solve for x
    x = 447,969.18/722.46
  6. Step 6: Final answer
    x = 620.06

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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.