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Finding the Fourth Proportional to 723.83, 998.67 and 514.04

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Solution

The fourth proportional to 723.83, 998.67 and 514.04 is: 709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.83 : 998.67 = 514.04 : x
  2. Step 2: Convert to fraction form
    723.83/998.67 = 514.04/x
  3. Step 3: Cross multiply
    723.83x = 998.67 × 514.04
  4. Step 4: Simplify right side
    723.83x = 513,351.33
  5. Step 5: Solve for x
    x = 513,351.33/723.83
  6. Step 6: Final answer
    x = 709.22

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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.