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Finding the Fourth Proportional to 759.65, 1,139.97 and 389.68

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Solution

The fourth proportional to 759.65, 1,139.97 and 389.68 is: 584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.65 : 1,139.97 = 389.68 : x
  2. Step 2: Convert to fraction form
    759.65/1,139.97 = 389.68/x
  3. Step 3: Cross multiply
    759.65x = 1,139.97 × 389.68
  4. Step 4: Simplify right side
    759.65x = 444,222.12
  5. Step 5: Solve for x
    x = 444,222.12/759.65
  6. Step 6: Final answer
    x = 584.78

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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.