Home / 1,413.06-2,119.98-719.52

Finding the Fourth Proportional to 1,413.06, 2,119.98 and 719.52

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Solution

The fourth proportional to 1,413.06, 2,119.98 and 719.52 is: 1,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.06 : 2,119.98 = 719.52 : x
  2. Step 2: Convert to fraction form
    1,413.06/2,119.98 = 719.52/x
  3. Step 3: Cross multiply
    1,413.06x = 2,119.98 × 719.52
  4. Step 4: Simplify right side
    1,413.06x = 1,525,368.01
  5. Step 5: Solve for x
    x = 1,525,368.01/1,413.06
  6. Step 6: Final answer
    x = 1,079.48

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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.