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Finding the Fourth Proportional to 764.34, 1,146.42 and 455.22

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Solution

The fourth proportional to 764.34, 1,146.42 and 455.22 is: 682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.34 : 1,146.42 = 455.22 : x
  2. Step 2: Convert to fraction form
    764.34/1,146.42 = 455.22/x
  3. Step 3: Cross multiply
    764.34x = 1,146.42 × 455.22
  4. Step 4: Simplify right side
    764.34x = 521,873.31
  5. Step 5: Solve for x
    x = 521,873.31/764.34
  6. Step 6: Final answer
    x = 682.78

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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.