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Finding the Fourth Proportional to 901.21, 1,351.83 and 413.68

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Solution

The fourth proportional to 901.21, 1,351.83 and 413.68 is: 620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.21 : 1,351.83 = 413.68 : x
  2. Step 2: Convert to fraction form
    901.21/1,351.83 = 413.68/x
  3. Step 3: Cross multiply
    901.21x = 1,351.83 × 413.68
  4. Step 4: Simplify right side
    901.21x = 559,225.03
  5. Step 5: Solve for x
    x = 559,225.03/901.21
  6. Step 6: Final answer
    x = 620.53

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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.