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Finding the Fourth Proportional to 779.36, 1,169.06 and 231.53

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Solution

The fourth proportional to 779.36, 1,169.06 and 231.53 is: 347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.36 : 1,169.06 = 231.53 : x
  2. Step 2: Convert to fraction form
    779.36/1,169.06 = 231.53/x
  3. Step 3: Cross multiply
    779.36x = 1,169.06 × 231.53
  4. Step 4: Simplify right side
    779.36x = 270,665.46
  5. Step 5: Solve for x
    x = 270,665.46/779.36
  6. Step 6: Final answer
    x = 347.29

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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.