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Finding the Fourth Proportional to 722.05, 1,083.16 and 311.23

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Solution

The fourth proportional to 722.05, 1,083.16 and 311.23 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.05 : 1,083.16 = 311.23 : x
  2. Step 2: Convert to fraction form
    722.05/1,083.16 = 311.23/x
  3. Step 3: Cross multiply
    722.05x = 1,083.16 × 311.23
  4. Step 4: Simplify right side
    722.05x = 337,111.89
  5. Step 5: Solve for x
    x = 337,111.89/722.05
  6. Step 6: Final answer
    x = 466.88

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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.