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Finding the Fourth Proportional to 739.21, 1,107.78 and 584.46

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Solution

The fourth proportional to 739.21, 1,107.78 and 584.46 is: 875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.21 : 1,107.78 = 584.46 : x
  2. Step 2: Convert to fraction form
    739.21/1,107.78 = 584.46/x
  3. Step 3: Cross multiply
    739.21x = 1,107.78 × 584.46
  4. Step 4: Simplify right side
    739.21x = 647,453.10
  5. Step 5: Solve for x
    x = 647,453.10/739.21
  6. Step 6: Final answer
    x = 875.87

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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.