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Finding the Fourth Proportional to 778.46, 1,169.21 and 605.48

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Solution

The fourth proportional to 778.46, 1,169.21 and 605.48 is: 909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.46 : 1,169.21 = 605.48 : x
  2. Step 2: Convert to fraction form
    778.46/1,169.21 = 605.48/x
  3. Step 3: Cross multiply
    778.46x = 1,169.21 × 605.48
  4. Step 4: Simplify right side
    778.46x = 707,924.40
  5. Step 5: Solve for x
    x = 707,924.40/778.46
  6. Step 6: Final answer
    x = 909.40

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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.