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Finding the Fourth Proportional to 764.52, 1,147.68 and 746

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Solution

The fourth proportional to 764.52, 1,147.68 and 746 is: 1,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.52 : 1,147.68 = 746 : x
  2. Step 2: Convert to fraction form
    764.52/1,147.68 = 746/x
  3. Step 3: Cross multiply
    764.52x = 1,147.68 × 746
  4. Step 4: Simplify right side
    764.52x = 856,169.28
  5. Step 5: Solve for x
    x = 856,169.28/764.52
  6. Step 6: Final answer
    x = 1,119.88

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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.