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Finding the Fourth Proportional to 779.44, 1,169.12 and 394.56

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Solution

The fourth proportional to 779.44, 1,169.12 and 394.56 is: 591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.44 : 1,169.12 = 394.56 : x
  2. Step 2: Convert to fraction form
    779.44/1,169.12 = 394.56/x
  3. Step 3: Cross multiply
    779.44x = 1,169.12 × 394.56
  4. Step 4: Simplify right side
    779.44x = 461,287.99
  5. Step 5: Solve for x
    x = 461,287.99/779.44
  6. Step 6: Final answer
    x = 591.82

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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.