Home / 1,413.45-2,121.39-683.51

Finding the Fourth Proportional to 1,413.45, 2,121.39 and 683.51

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Solution

The fourth proportional to 1,413.45, 2,121.39 and 683.51 is: 1,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.45 : 2,121.39 = 683.51 : x
  2. Step 2: Convert to fraction form
    1,413.45/2,121.39 = 683.51/x
  3. Step 3: Cross multiply
    1,413.45x = 2,121.39 × 683.51
  4. Step 4: Simplify right side
    1,413.45x = 1,449,980.67
  5. Step 5: Solve for x
    x = 1,449,980.67/1,413.45
  6. Step 6: Final answer
    x = 1,025.85

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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.