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Finding the Fourth Proportional to 723.26, 998.26 and 513.74

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Solution

The fourth proportional to 723.26, 998.26 and 513.74 is: 709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.26 : 998.26 = 513.74 : x
  2. Step 2: Convert to fraction form
    723.26/998.26 = 513.74/x
  3. Step 3: Cross multiply
    723.26x = 998.26 × 513.74
  4. Step 4: Simplify right side
    723.26x = 512,846.09
  5. Step 5: Solve for x
    x = 512,846.09/723.26
  6. Step 6: Final answer
    x = 709.08

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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.