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Finding the Fourth Proportional to 725.49, 998.73 and 651.78

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Solution

The fourth proportional to 725.49, 998.73 and 651.78 is: 897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.49 : 998.73 = 651.78 : x
  2. Step 2: Convert to fraction form
    725.49/998.73 = 651.78/x
  3. Step 3: Cross multiply
    725.49x = 998.73 × 651.78
  4. Step 4: Simplify right side
    725.49x = 650,952.24
  5. Step 5: Solve for x
    x = 650,952.24/725.49
  6. Step 6: Final answer
    x = 897.26

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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.