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Finding the Fourth Proportional to 997.83, 1,496.49 and 413.00

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Solution

The fourth proportional to 997.83, 1,496.49 and 413.00 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.83 : 1,496.49 = 413.00 : x
  2. Step 2: Convert to fraction form
    997.83/1,496.49 = 413.00/x
  3. Step 3: Cross multiply
    997.83x = 1,496.49 × 413.00
  4. Step 4: Simplify right side
    997.83x = 618,050.05
  5. Step 5: Solve for x
    x = 618,050.05/997.83
  6. Step 6: Final answer
    x = 619.39

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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.