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Finding the Fourth Proportional to 722.89, 1,084.36 and 229.30

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Solution

The fourth proportional to 722.89, 1,084.36 and 229.30 is: 343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.89 : 1,084.36 = 229.30 : x
  2. Step 2: Convert to fraction form
    722.89/1,084.36 = 229.30/x
  3. Step 3: Cross multiply
    722.89x = 1,084.36 × 229.30
  4. Step 4: Simplify right side
    722.89x = 248,643.75
  5. Step 5: Solve for x
    x = 248,643.75/722.89
  6. Step 6: Final answer
    x = 343.96

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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.