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Finding the Fourth Proportional to 901.00, 1,351.04 and 413.63

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Solution

The fourth proportional to 901.00, 1,351.04 and 413.63 is: 620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.00 : 1,351.04 = 413.63 : x
  2. Step 2: Convert to fraction form
    901.00/1,351.04 = 413.63/x
  3. Step 3: Cross multiply
    901.00x = 1,351.04 × 413.63
  4. Step 4: Simplify right side
    901.00x = 558,821.85
  5. Step 5: Solve for x
    x = 558,821.85/901.00
  6. Step 6: Final answer
    x = 620.23

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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.