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Finding the Fourth Proportional to 722.28, 1,083.90 and 289.46

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Solution

The fourth proportional to 722.28, 1,083.90 and 289.46 is: 434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.28 : 1,083.90 = 289.46 : x
  2. Step 2: Convert to fraction form
    722.28/1,083.90 = 289.46/x
  3. Step 3: Cross multiply
    722.28x = 1,083.90 × 289.46
  4. Step 4: Simplify right side
    722.28x = 313,745.69
  5. Step 5: Solve for x
    x = 313,745.69/722.28
  6. Step 6: Final answer
    x = 434.38

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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.