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Finding the Fourth Proportional to 1,463.13, 2,193.48 and 682.73

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Solution

The fourth proportional to 1,463.13, 2,193.48 and 682.73 is: 1,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.13 : 2,193.48 = 682.73 : x
  2. Step 2: Convert to fraction form
    1,463.13/2,193.48 = 682.73/x
  3. Step 3: Cross multiply
    1,463.13x = 2,193.48 × 682.73
  4. Step 4: Simplify right side
    1,463.13x = 1,497,551.86
  5. Step 5: Solve for x
    x = 1,497,551.86/1,463.13
  6. Step 6: Final answer
    x = 1,023.53

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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.