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Finding the Fourth Proportional to 764.85, 1,147.42 and 353.72

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Solution

The fourth proportional to 764.85, 1,147.42 and 353.72 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.85 : 1,147.42 = 353.72 : x
  2. Step 2: Convert to fraction form
    764.85/1,147.42 = 353.72/x
  3. Step 3: Cross multiply
    764.85x = 1,147.42 × 353.72
  4. Step 4: Simplify right side
    764.85x = 405,858.78
  5. Step 5: Solve for x
    x = 405,858.78/764.85
  6. Step 6: Final answer
    x = 530.64

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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.