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Finding the Fourth Proportional to 1,462.23, 2,193.99 and 537.57

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Solution

The fourth proportional to 1,462.23, 2,193.99 and 537.57 is: 806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.23 : 2,193.99 = 537.57 : x
  2. Step 2: Convert to fraction form
    1,462.23/2,193.99 = 537.57/x
  3. Step 3: Cross multiply
    1,462.23x = 2,193.99 × 537.57
  4. Step 4: Simplify right side
    1,462.23x = 1,179,420.52
  5. Step 5: Solve for x
    x = 1,179,420.52/1,462.23
  6. Step 6: Final answer
    x = 806.59

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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.