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Finding the Fourth Proportional to 719.15, 1,078.47 and 232.09

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Solution

The fourth proportional to 719.15, 1,078.47 and 232.09 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.15 : 1,078.47 = 232.09 : x
  2. Step 2: Convert to fraction form
    719.15/1,078.47 = 232.09/x
  3. Step 3: Cross multiply
    719.15x = 1,078.47 × 232.09
  4. Step 4: Simplify right side
    719.15x = 250,299.41
  5. Step 5: Solve for x
    x = 250,299.41/719.15
  6. Step 6: Final answer
    x = 348.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.