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Finding the Fourth Proportional to 779.19, 1,169.00 and 413.88

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Solution

The fourth proportional to 779.19, 1,169.00 and 413.88 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.19 : 1,169.00 = 413.88 : x
  2. Step 2: Convert to fraction form
    779.19/1,169.00 = 413.88/x
  3. Step 3: Cross multiply
    779.19x = 1,169.00 × 413.88
  4. Step 4: Simplify right side
    779.19x = 483,823.65
  5. Step 5: Solve for x
    x = 483,823.65/779.19
  6. Step 6: Final answer
    x = 620.93

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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.