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Finding the Fourth Proportional to 739.44, 1,106.73 and 464.94

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Solution

The fourth proportional to 739.44, 1,106.73 and 464.94 is: 695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.44 : 1,106.73 = 464.94 : x
  2. Step 2: Convert to fraction form
    739.44/1,106.73 = 464.94/x
  3. Step 3: Cross multiply
    739.44x = 1,106.73 × 464.94
  4. Step 4: Simplify right side
    739.44x = 514,563.05
  5. Step 5: Solve for x
    x = 514,563.05/739.44
  6. Step 6: Final answer
    x = 695.88

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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.