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Finding the Fourth Proportional to 759.67, 1,139.51 and 326.81

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Solution

The fourth proportional to 759.67, 1,139.51 and 326.81 is: 490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.67 : 1,139.51 = 326.81 : x
  2. Step 2: Convert to fraction form
    759.67/1,139.51 = 326.81/x
  3. Step 3: Cross multiply
    759.67x = 1,139.51 × 326.81
  4. Step 4: Simplify right side
    759.67x = 372,406.93
  5. Step 5: Solve for x
    x = 372,406.93/759.67
  6. Step 6: Final answer
    x = 490.22

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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.