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Finding the Fourth Proportional to 778.80, 1,167.08 and 394.48

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Solution

The fourth proportional to 778.80, 1,167.08 and 394.48 is: 591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.80 : 1,167.08 = 394.48 : x
  2. Step 2: Convert to fraction form
    778.80/1,167.08 = 394.48/x
  3. Step 3: Cross multiply
    778.80x = 1,167.08 × 394.48
  4. Step 4: Simplify right side
    778.80x = 460,389.72
  5. Step 5: Solve for x
    x = 460,389.72/778.80
  6. Step 6: Final answer
    x = 591.15

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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.