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Finding the Fourth Proportional to 759.61, 1,139.20 and 320.96

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Solution

The fourth proportional to 759.61, 1,139.20 and 320.96 is: 481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.61 : 1,139.20 = 320.96 : x
  2. Step 2: Convert to fraction form
    759.61/1,139.20 = 320.96/x
  3. Step 3: Cross multiply
    759.61x = 1,139.20 × 320.96
  4. Step 4: Simplify right side
    759.61x = 365,635.41
  5. Step 5: Solve for x
    x = 365,635.41/759.61
  6. Step 6: Final answer
    x = 481.35

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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.