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Finding the Fourth Proportional to 725.73, 1,008.22 and 718.98

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Solution

The fourth proportional to 725.73, 1,008.22 and 718.98 is: 998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.73 : 1,008.22 = 718.98 : x
  2. Step 2: Convert to fraction form
    725.73/1,008.22 = 718.98/x
  3. Step 3: Cross multiply
    725.73x = 1,008.22 × 718.98
  4. Step 4: Simplify right side
    725.73x = 724,890.02
  5. Step 5: Solve for x
    x = 724,890.02/725.73
  6. Step 6: Final answer
    x = 998.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.