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Finding the Fourth Proportional to 719.15, 1,078.11 and 286.07

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Solution

The fourth proportional to 719.15, 1,078.11 and 286.07 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.15 : 1,078.11 = 286.07 : x
  2. Step 2: Convert to fraction form
    719.15/1,078.11 = 286.07/x
  3. Step 3: Cross multiply
    719.15x = 1,078.11 × 286.07
  4. Step 4: Simplify right side
    719.15x = 308,409.54
  5. Step 5: Solve for x
    x = 308,409.54/719.15
  6. Step 6: Final answer
    x = 428.86

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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.