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Finding the Fourth Proportional to 739.05, 1,108.61 and 219.03

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Solution

The fourth proportional to 739.05, 1,108.61 and 219.03 is: 328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.05 : 1,108.61 = 219.03 : x
  2. Step 2: Convert to fraction form
    739.05/1,108.61 = 219.03/x
  3. Step 3: Cross multiply
    739.05x = 1,108.61 × 219.03
  4. Step 4: Simplify right side
    739.05x = 242,818.85
  5. Step 5: Solve for x
    x = 242,818.85/739.05
  6. Step 6: Final answer
    x = 328.56

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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.