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Finding the Fourth Proportional to 779.29, 1,169.13 and 259.37

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Solution

The fourth proportional to 779.29, 1,169.13 and 259.37 is: 389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.29 : 1,169.13 = 259.37 : x
  2. Step 2: Convert to fraction form
    779.29/1,169.13 = 259.37/x
  3. Step 3: Cross multiply
    779.29x = 1,169.13 × 259.37
  4. Step 4: Simplify right side
    779.29x = 303,236.76
  5. Step 5: Solve for x
    x = 303,236.76/779.29
  6. Step 6: Final answer
    x = 389.12

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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.