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Finding the Fourth Proportional to 764.22, 1,146.33 and 439.38

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Solution

The fourth proportional to 764.22, 1,146.33 and 439.38 is: 659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.22 : 1,146.33 = 439.38 : x
  2. Step 2: Convert to fraction form
    764.22/1,146.33 = 439.38/x
  3. Step 3: Cross multiply
    764.22x = 1,146.33 × 439.38
  4. Step 4: Simplify right side
    764.22x = 503,674.48
  5. Step 5: Solve for x
    x = 503,674.48/764.22
  6. Step 6: Final answer
    x = 659.07

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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.