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Finding the Fourth Proportional to 759.88, 1,136.62 and 552.12

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Solution

The fourth proportional to 759.88, 1,136.62 and 552.12 is: 825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.88 : 1,136.62 = 552.12 : x
  2. Step 2: Convert to fraction form
    759.88/1,136.62 = 552.12/x
  3. Step 3: Cross multiply
    759.88x = 1,136.62 × 552.12
  4. Step 4: Simplify right side
    759.88x = 627,550.63
  5. Step 5: Solve for x
    x = 627,550.63/759.88
  6. Step 6: Final answer
    x = 825.85

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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.