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Finding the Fourth Proportional to 1,413.33, 2,119.51 and 719.73

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Solution

The fourth proportional to 1,413.33, 2,119.51 and 719.73 is: 1,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.33 : 2,119.51 = 719.73 : x
  2. Step 2: Convert to fraction form
    1,413.33/2,119.51 = 719.73/x
  3. Step 3: Cross multiply
    1,413.33x = 2,119.51 × 719.73
  4. Step 4: Simplify right side
    1,413.33x = 1,525,474.93
  5. Step 5: Solve for x
    x = 1,525,474.93/1,413.33
  6. Step 6: Final answer
    x = 1,079.35

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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.