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Finding the Fourth Proportional to 739.05, 1,108.50 and 464.31

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Solution

The fourth proportional to 739.05, 1,108.50 and 464.31 is: 696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.05 : 1,108.50 = 464.31 : x
  2. Step 2: Convert to fraction form
    739.05/1,108.50 = 464.31/x
  3. Step 3: Cross multiply
    739.05x = 1,108.50 × 464.31
  4. Step 4: Simplify right side
    739.05x = 514,687.64
  5. Step 5: Solve for x
    x = 514,687.64/739.05
  6. Step 6: Final answer
    x = 696.42

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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.