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Finding the Fourth Proportional to 722.63, 996.78 and 427.69

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Solution

The fourth proportional to 722.63, 996.78 and 427.69 is: 589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.63 : 996.78 = 427.69 : x
  2. Step 2: Convert to fraction form
    722.63/996.78 = 427.69/x
  3. Step 3: Cross multiply
    722.63x = 996.78 × 427.69
  4. Step 4: Simplify right side
    722.63x = 426,310.35
  5. Step 5: Solve for x
    x = 426,310.35/722.63
  6. Step 6: Final answer
    x = 589.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.