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Finding the Fourth Proportional to 759.85, 1,139.89 and 349.02

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Solution

The fourth proportional to 759.85, 1,139.89 and 349.02 is: 523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.85 : 1,139.89 = 349.02 : x
  2. Step 2: Convert to fraction form
    759.85/1,139.89 = 349.02/x
  3. Step 3: Cross multiply
    759.85x = 1,139.89 × 349.02
  4. Step 4: Simplify right side
    759.85x = 397,844.41
  5. Step 5: Solve for x
    x = 397,844.41/759.85
  6. Step 6: Final answer
    x = 523.58

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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.