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Finding the Fourth Proportional to 1,453.84, 2,180.53 and 413.89

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Solution

The fourth proportional to 1,453.84, 2,180.53 and 413.89 is: 620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.84 : 2,180.53 = 413.89 : x
  2. Step 2: Convert to fraction form
    1,453.84/2,180.53 = 413.89/x
  3. Step 3: Cross multiply
    1,453.84x = 2,180.53 × 413.89
  4. Step 4: Simplify right side
    1,453.84x = 902,499.56
  5. Step 5: Solve for x
    x = 902,499.56/1,453.84
  6. Step 6: Final answer
    x = 620.77

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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.