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Finding the Fourth Proportional to 722.48, 1,083.67 and 289.33

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Solution

The fourth proportional to 722.48, 1,083.67 and 289.33 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.48 : 1,083.67 = 289.33 : x
  2. Step 2: Convert to fraction form
    722.48/1,083.67 = 289.33/x
  3. Step 3: Cross multiply
    722.48x = 1,083.67 × 289.33
  4. Step 4: Simplify right side
    722.48x = 313,538.24
  5. Step 5: Solve for x
    x = 313,538.24/722.48
  6. Step 6: Final answer
    x = 433.97

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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.