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Finding the Fourth Proportional to 763.82, 1,145.22 and 301.31

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Solution

The fourth proportional to 763.82, 1,145.22 and 301.31 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.82 : 1,145.22 = 301.31 : x
  2. Step 2: Convert to fraction form
    763.82/1,145.22 = 301.31/x
  3. Step 3: Cross multiply
    763.82x = 1,145.22 × 301.31
  4. Step 4: Simplify right side
    763.82x = 345,066.24
  5. Step 5: Solve for x
    x = 345,066.24/763.82
  6. Step 6: Final answer
    x = 451.76

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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.