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Finding the Fourth Proportional to 722.59, 1,083.14 and 311.38

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Solution

The fourth proportional to 722.59, 1,083.14 and 311.38 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.59 : 1,083.14 = 311.38 : x
  2. Step 2: Convert to fraction form
    722.59/1,083.14 = 311.38/x
  3. Step 3: Cross multiply
    722.59x = 1,083.14 × 311.38
  4. Step 4: Simplify right side
    722.59x = 337,265.04
  5. Step 5: Solve for x
    x = 337,265.04/722.59
  6. Step 6: Final answer
    x = 466.75

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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.