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Finding the Fourth Proportional to 749.68, 1,122.78 and 723.73

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Solution

The fourth proportional to 749.68, 1,122.78 and 723.73 is: 1,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.68 : 1,122.78 = 723.73 : x
  2. Step 2: Convert to fraction form
    749.68/1,122.78 = 723.73/x
  3. Step 3: Cross multiply
    749.68x = 1,122.78 × 723.73
  4. Step 4: Simplify right side
    749.68x = 812,583.96
  5. Step 5: Solve for x
    x = 812,583.96/749.68
  6. Step 6: Final answer
    x = 1,083.91

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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.