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Finding the Fourth Proportional to 770.88, 1,155.60 and 481.44

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Solution

The fourth proportional to 770.88, 1,155.60 and 481.44 is: 721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.88 : 1,155.60 = 481.44 : x
  2. Step 2: Convert to fraction form
    770.88/1,155.60 = 481.44/x
  3. Step 3: Cross multiply
    770.88x = 1,155.60 × 481.44
  4. Step 4: Simplify right side
    770.88x = 556,352.06
  5. Step 5: Solve for x
    x = 556,352.06/770.88
  6. Step 6: Final answer
    x = 721.71

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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.