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Finding the Fourth Proportional to 764.96, 1,147.26 and 353.70

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Solution

The fourth proportional to 764.96, 1,147.26 and 353.70 is: 530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.96 : 1,147.26 = 353.70 : x
  2. Step 2: Convert to fraction form
    764.96/1,147.26 = 353.70/x
  3. Step 3: Cross multiply
    764.96x = 1,147.26 × 353.70
  4. Step 4: Simplify right side
    764.96x = 405,785.86
  5. Step 5: Solve for x
    x = 405,785.86/764.96
  6. Step 6: Final answer
    x = 530.47

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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.