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Finding the Fourth Proportional to 900.89, 1,351.02 and 413.67

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Solution

The fourth proportional to 900.89, 1,351.02 and 413.67 is: 620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.89 : 1,351.02 = 413.67 : x
  2. Step 2: Convert to fraction form
    900.89/1,351.02 = 413.67/x
  3. Step 3: Cross multiply
    900.89x = 1,351.02 × 413.67
  4. Step 4: Simplify right side
    900.89x = 558,876.44
  5. Step 5: Solve for x
    x = 558,876.44/900.89
  6. Step 6: Final answer
    x = 620.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.