Home / 1,509.03-2,263.29-413.14

Finding the Fourth Proportional to 1,509.03, 2,263.29 and 413.14

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Solution

The fourth proportional to 1,509.03, 2,263.29 and 413.14 is: 619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.03 : 2,263.29 = 413.14 : x
  2. Step 2: Convert to fraction form
    1,509.03/2,263.29 = 413.14/x
  3. Step 3: Cross multiply
    1,509.03x = 2,263.29 × 413.14
  4. Step 4: Simplify right side
    1,509.03x = 935,049.97
  5. Step 5: Solve for x
    x = 935,049.97/1,509.03
  6. Step 6: Final answer
    x = 619.63

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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.