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Finding the Fourth Proportional to 779.54, 1,169.46 and 414.22

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Solution

The fourth proportional to 779.54, 1,169.46 and 414.22 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.54 : 1,169.46 = 414.22 : x
  2. Step 2: Convert to fraction form
    779.54/1,169.46 = 414.22/x
  3. Step 3: Cross multiply
    779.54x = 1,169.46 × 414.22
  4. Step 4: Simplify right side
    779.54x = 484,413.72
  5. Step 5: Solve for x
    x = 484,413.72/779.54
  6. Step 6: Final answer
    x = 621.41

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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.