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Finding the Fourth Proportional to 722.81, 1,084.55 and 306.46

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Solution

The fourth proportional to 722.81, 1,084.55 and 306.46 is: 459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.81 : 1,084.55 = 306.46 : x
  2. Step 2: Convert to fraction form
    722.81/1,084.55 = 306.46/x
  3. Step 3: Cross multiply
    722.81x = 1,084.55 × 306.46
  4. Step 4: Simplify right side
    722.81x = 332,367.72
  5. Step 5: Solve for x
    x = 332,367.72/722.81
  6. Step 6: Final answer
    x = 459.83

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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.