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Finding the Fourth Proportional to 845.82, 1,269.45 and 730.62

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Solution

The fourth proportional to 845.82, 1,269.45 and 730.62 is: 1,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.82 : 1,269.45 = 730.62 : x
  2. Step 2: Convert to fraction form
    845.82/1,269.45 = 730.62/x
  3. Step 3: Cross multiply
    845.82x = 1,269.45 × 730.62
  4. Step 4: Simplify right side
    845.82x = 927,485.56
  5. Step 5: Solve for x
    x = 927,485.56/845.82
  6. Step 6: Final answer
    x = 1,096.55

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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.