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Finding the Fourth Proportional to 722.94, 1,084.75 and 229.43

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Solution

The fourth proportional to 722.94, 1,084.75 and 229.43 is: 344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.94 : 1,084.75 = 229.43 : x
  2. Step 2: Convert to fraction form
    722.94/1,084.75 = 229.43/x
  3. Step 3: Cross multiply
    722.94x = 1,084.75 × 229.43
  4. Step 4: Simplify right side
    722.94x = 248,868.20
  5. Step 5: Solve for x
    x = 248,868.20/722.94
  6. Step 6: Final answer
    x = 344.24

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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.