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Finding the Fourth Proportional to 764.75, 1,146.34 and 302.34

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Solution

The fourth proportional to 764.75, 1,146.34 and 302.34 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.75 : 1,146.34 = 302.34 : x
  2. Step 2: Convert to fraction form
    764.75/1,146.34 = 302.34/x
  3. Step 3: Cross multiply
    764.75x = 1,146.34 × 302.34
  4. Step 4: Simplify right side
    764.75x = 346,589.11
  5. Step 5: Solve for x
    x = 346,589.11/764.75
  6. Step 6: Final answer
    x = 453.20

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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.