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Finding the Fourth Proportional to 1,463.01, 2,194.19 and 422.79

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Solution

The fourth proportional to 1,463.01, 2,194.19 and 422.79 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.01 : 2,194.19 = 422.79 : x
  2. Step 2: Convert to fraction form
    1,463.01/2,194.19 = 422.79/x
  3. Step 3: Cross multiply
    1,463.01x = 2,194.19 × 422.79
  4. Step 4: Simplify right side
    1,463.01x = 927,670.62
  5. Step 5: Solve for x
    x = 927,670.62/1,463.01
  6. Step 6: Final answer
    x = 634.08

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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.