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Finding the Fourth Proportional to 799.43, 1,202.99 and 723.87

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Solution

The fourth proportional to 799.43, 1,202.99 and 723.87 is: 1,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.43 : 1,202.99 = 723.87 : x
  2. Step 2: Convert to fraction form
    799.43/1,202.99 = 723.87/x
  3. Step 3: Cross multiply
    799.43x = 1,202.99 × 723.87
  4. Step 4: Simplify right side
    799.43x = 870,804.75
  5. Step 5: Solve for x
    x = 870,804.75/799.43
  6. Step 6: Final answer
    x = 1,089.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.