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Finding the Fourth Proportional to 722.07, 1,083.17 and 289.26

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Solution

The fourth proportional to 722.07, 1,083.17 and 289.26 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.07 : 1,083.17 = 289.26 : x
  2. Step 2: Convert to fraction form
    722.07/1,083.17 = 289.26/x
  3. Step 3: Cross multiply
    722.07x = 1,083.17 × 289.26
  4. Step 4: Simplify right side
    722.07x = 313,317.75
  5. Step 5: Solve for x
    x = 313,317.75/722.07
  6. Step 6: Final answer
    x = 433.92

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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.