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Finding the Fourth Proportional to 764.81, 1,147.26 and 475.64

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Solution

The fourth proportional to 764.81, 1,147.26 and 475.64 is: 713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.81 : 1,147.26 = 475.64 : x
  2. Step 2: Convert to fraction form
    764.81/1,147.26 = 475.64/x
  3. Step 3: Cross multiply
    764.81x = 1,147.26 × 475.64
  4. Step 4: Simplify right side
    764.81x = 545,682.75
  5. Step 5: Solve for x
    x = 545,682.75/764.81
  6. Step 6: Final answer
    x = 713.49

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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.