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Finding the Fourth Proportional to 1,182.75, 1,774.14 and 413.25

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Solution

The fourth proportional to 1,182.75, 1,774.14 and 413.25 is: 619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.75 : 1,774.14 = 413.25 : x
  2. Step 2: Convert to fraction form
    1,182.75/1,774.14 = 413.25/x
  3. Step 3: Cross multiply
    1,182.75x = 1,774.14 × 413.25
  4. Step 4: Simplify right side
    1,182.75x = 733,163.36
  5. Step 5: Solve for x
    x = 733,163.36/1,182.75
  6. Step 6: Final answer
    x = 619.88

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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.