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Finding the Fourth Proportional to 764.03, 1,143.21 and 456.05

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Solution

The fourth proportional to 764.03, 1,143.21 and 456.05 is: 682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.03 : 1,143.21 = 456.05 : x
  2. Step 2: Convert to fraction form
    764.03/1,143.21 = 456.05/x
  3. Step 3: Cross multiply
    764.03x = 1,143.21 × 456.05
  4. Step 4: Simplify right side
    764.03x = 521,360.92
  5. Step 5: Solve for x
    x = 521,360.92/764.03
  6. Step 6: Final answer
    x = 682.38

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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.