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Finding the Fourth Proportional to 759.73, 1,139.78 and 413.41

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Solution

The fourth proportional to 759.73, 1,139.78 and 413.41 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.73 : 1,139.78 = 413.41 : x
  2. Step 2: Convert to fraction form
    759.73/1,139.78 = 413.41/x
  3. Step 3: Cross multiply
    759.73x = 1,139.78 × 413.41
  4. Step 4: Simplify right side
    759.73x = 471,196.45
  5. Step 5: Solve for x
    x = 471,196.45/759.73
  6. Step 6: Final answer
    x = 620.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.