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Finding the Fourth Proportional to 719.11, 1,078.32 and 349.09

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Solution

The fourth proportional to 719.11, 1,078.32 and 349.09 is: 523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.11 : 1,078.32 = 349.09 : x
  2. Step 2: Convert to fraction form
    719.11/1,078.32 = 349.09/x
  3. Step 3: Cross multiply
    719.11x = 1,078.32 × 349.09
  4. Step 4: Simplify right side
    719.11x = 376,430.73
  5. Step 5: Solve for x
    x = 376,430.73/719.11
  6. Step 6: Final answer
    x = 523.47

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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.