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Finding the Fourth Proportional to 722.74, 996.76 and 649.84

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Solution

The fourth proportional to 722.74, 996.76 and 649.84 is: 896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.74 : 996.76 = 649.84 : x
  2. Step 2: Convert to fraction form
    722.74/996.76 = 649.84/x
  3. Step 3: Cross multiply
    722.74x = 996.76 × 649.84
  4. Step 4: Simplify right side
    722.74x = 647,734.52
  5. Step 5: Solve for x
    x = 647,734.52/722.74
  6. Step 6: Final answer
    x = 896.22

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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.