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Finding the Fourth Proportional to 764.09, 1,146.37 and 353.55

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Solution

The fourth proportional to 764.09, 1,146.37 and 353.55 is: 530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.09 : 1,146.37 = 353.55 : x
  2. Step 2: Convert to fraction form
    764.09/1,146.37 = 353.55/x
  3. Step 3: Cross multiply
    764.09x = 1,146.37 × 353.55
  4. Step 4: Simplify right side
    764.09x = 405,299.11
  5. Step 5: Solve for x
    x = 405,299.11/764.09
  6. Step 6: Final answer
    x = 530.43

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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.