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Finding the Fourth Proportional to 1,463.17, 2,194.97 and 475.66

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Solution

The fourth proportional to 1,463.17, 2,194.97 and 475.66 is: 713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.17 : 2,194.97 = 475.66 : x
  2. Step 2: Convert to fraction form
    1,463.17/2,194.97 = 475.66/x
  3. Step 3: Cross multiply
    1,463.17x = 2,194.97 × 475.66
  4. Step 4: Simplify right side
    1,463.17x = 1,044,059.43
  5. Step 5: Solve for x
    x = 1,044,059.43/1,463.17
  6. Step 6: Final answer
    x = 713.56

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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.