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Finding the Fourth Proportional to 1,232.72, 1,849.64 and 462.96

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Solution

The fourth proportional to 1,232.72, 1,849.64 and 462.96 is: 694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.72 : 1,849.64 = 462.96 : x
  2. Step 2: Convert to fraction form
    1,232.72/1,849.64 = 462.96/x
  3. Step 3: Cross multiply
    1,232.72x = 1,849.64 × 462.96
  4. Step 4: Simplify right side
    1,232.72x = 856,309.33
  5. Step 5: Solve for x
    x = 856,309.33/1,232.72
  6. Step 6: Final answer
    x = 694.65

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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.