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Finding the Fourth Proportional to 969.09, 1,454.01 and 413.92

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Solution

The fourth proportional to 969.09, 1,454.01 and 413.92 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.09 : 1,454.01 = 413.92 : x
  2. Step 2: Convert to fraction form
    969.09/1,454.01 = 413.92/x
  3. Step 3: Cross multiply
    969.09x = 1,454.01 × 413.92
  4. Step 4: Simplify right side
    969.09x = 601,843.82
  5. Step 5: Solve for x
    x = 601,843.82/969.09
  6. Step 6: Final answer
    x = 621.04

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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.