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Finding the Fourth Proportional to 1,413.72, 1,948.86 and 1,020.06

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Solution

The fourth proportional to 1,413.72, 1,948.86 and 1,020.06 is: 1,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.72 : 1,948.86 = 1,020.06 : x
  2. Step 2: Convert to fraction form
    1,413.72/1,948.86 = 1,020.06/x
  3. Step 3: Cross multiply
    1,413.72x = 1,948.86 × 1,020.06
  4. Step 4: Simplify right side
    1,413.72x = 1,987,954.13
  5. Step 5: Solve for x
    x = 1,987,954.13/1,413.72
  6. Step 6: Final answer
    x = 1,406.19

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