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Finding the Fourth Proportional to 779.76, 1,168.68 and 394.80

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Solution

The fourth proportional to 779.76, 1,168.68 and 394.80 is: 591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.76 : 1,168.68 = 394.80 : x
  2. Step 2: Convert to fraction form
    779.76/1,168.68 = 394.80/x
  3. Step 3: Cross multiply
    779.76x = 1,168.68 × 394.80
  4. Step 4: Simplify right side
    779.76x = 461,394.86
  5. Step 5: Solve for x
    x = 461,394.86/779.76
  6. Step 6: Final answer
    x = 591.71

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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.