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Finding the Fourth Proportional to 1,413.77, 2,119.43 and 683.86

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Solution

The fourth proportional to 1,413.77, 2,119.43 and 683.86 is: 1,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.77 : 2,119.43 = 683.86 : x
  2. Step 2: Convert to fraction form
    1,413.77/2,119.43 = 683.86/x
  3. Step 3: Cross multiply
    1,413.77x = 2,119.43 × 683.86
  4. Step 4: Simplify right side
    1,413.77x = 1,449,393.40
  5. Step 5: Solve for x
    x = 1,449,393.40/1,413.77
  6. Step 6: Final answer
    x = 1,025.20

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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.