Home / 1,413.13-2,119.99-439.19

Finding the Fourth Proportional to 1,413.13, 2,119.99 and 439.19

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Solution

The fourth proportional to 1,413.13, 2,119.99 and 439.19 is: 658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.13 : 2,119.99 = 439.19 : x
  2. Step 2: Convert to fraction form
    1,413.13/2,119.99 = 439.19/x
  3. Step 3: Cross multiply
    1,413.13x = 2,119.99 × 439.19
  4. Step 4: Simplify right side
    1,413.13x = 931,078.41
  5. Step 5: Solve for x
    x = 931,078.41/1,413.13
  6. Step 6: Final answer
    x = 658.88

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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.