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Finding the Fourth Proportional to 1,413.29, 2,119.31 and 755.06

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Solution

The fourth proportional to 1,413.29, 2,119.31 and 755.06 is: 1,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.29 : 2,119.31 = 755.06 : x
  2. Step 2: Convert to fraction form
    1,413.29/2,119.31 = 755.06/x
  3. Step 3: Cross multiply
    1,413.29x = 2,119.31 × 755.06
  4. Step 4: Simplify right side
    1,413.29x = 1,600,194.67
  5. Step 5: Solve for x
    x = 1,600,194.67/1,413.29
  6. Step 6: Final answer
    x = 1,132.25

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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.