Home / 1,278.75-1,918.13-413.07

Finding the Fourth Proportional to 1,278.75, 1,918.13 and 413.07

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Solution

The fourth proportional to 1,278.75, 1,918.13 and 413.07 is: 619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.75 : 1,918.13 = 413.07 : x
  2. Step 2: Convert to fraction form
    1,278.75/1,918.13 = 413.07/x
  3. Step 3: Cross multiply
    1,278.75x = 1,918.13 × 413.07
  4. Step 4: Simplify right side
    1,278.75x = 792,310.30
  5. Step 5: Solve for x
    x = 792,310.30/1,278.75
  6. Step 6: Final answer
    x = 619.60

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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.