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Finding the Fourth Proportional to 1,463.51, 2,194.94 and 423.29

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Solution

The fourth proportional to 1,463.51, 2,194.94 and 423.29 is: 634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.51 : 2,194.94 = 423.29 : x
  2. Step 2: Convert to fraction form
    1,463.51/2,194.94 = 423.29/x
  3. Step 3: Cross multiply
    1,463.51x = 2,194.94 × 423.29
  4. Step 4: Simplify right side
    1,463.51x = 929,086.24
  5. Step 5: Solve for x
    x = 929,086.24/1,463.51
  6. Step 6: Final answer
    x = 634.83

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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.