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Finding the Fourth Proportional to 723.50, 996 and 649.79

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Solution

The fourth proportional to 723.50, 996 and 649.79 is: 894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.50 : 996 = 649.79 : x
  2. Step 2: Convert to fraction form
    723.50/996 = 649.79/x
  3. Step 3: Cross multiply
    723.50x = 996 × 649.79
  4. Step 4: Simplify right side
    723.50x = 647,190.84
  5. Step 5: Solve for x
    x = 647,190.84/723.50
  6. Step 6: Final answer
    x = 894.53

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