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Finding the Fourth Proportional to 719.73, 1,079.78 and 232.79

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Solution

The fourth proportional to 719.73, 1,079.78 and 232.79 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.73 : 1,079.78 = 232.79 : x
  2. Step 2: Convert to fraction form
    719.73/1,079.78 = 232.79/x
  3. Step 3: Cross multiply
    719.73x = 1,079.78 × 232.79
  4. Step 4: Simplify right side
    719.73x = 251,355.42
  5. Step 5: Solve for x
    x = 251,355.42/719.73
  6. Step 6: Final answer
    x = 349.24

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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.