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Finding the Fourth Proportional to 739.16, 1,108.46 and 252.12

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Solution

The fourth proportional to 739.16, 1,108.46 and 252.12 is: 378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.16 : 1,108.46 = 252.12 : x
  2. Step 2: Convert to fraction form
    739.16/1,108.46 = 252.12/x
  3. Step 3: Cross multiply
    739.16x = 1,108.46 × 252.12
  4. Step 4: Simplify right side
    739.16x = 279,464.94
  5. Step 5: Solve for x
    x = 279,464.94/739.16
  6. Step 6: Final answer
    x = 378.08

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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.