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Finding the Fourth Proportional to 779.41, 1,169.62 and 414.45

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Solution

The fourth proportional to 779.41, 1,169.62 and 414.45 is: 621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.41 : 1,169.62 = 414.45 : x
  2. Step 2: Convert to fraction form
    779.41/1,169.62 = 414.45/x
  3. Step 3: Cross multiply
    779.41x = 1,169.62 × 414.45
  4. Step 4: Simplify right side
    779.41x = 484,755.20
  5. Step 5: Solve for x
    x = 484,755.20/779.41
  6. Step 6: Final answer
    x = 621.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.