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Finding the Fourth Proportional to 739.56, 1,108.80 and 354.36

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Solution

The fourth proportional to 739.56, 1,108.80 and 354.36 is: 531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.56 : 1,108.80 = 354.36 : x
  2. Step 2: Convert to fraction form
    739.56/1,108.80 = 354.36/x
  3. Step 3: Cross multiply
    739.56x = 1,108.80 × 354.36
  4. Step 4: Simplify right side
    739.56x = 392,914.37
  5. Step 5: Solve for x
    x = 392,914.37/739.56
  6. Step 6: Final answer
    x = 531.28

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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.