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Finding the Fourth Proportional to 1,463.70, 2,194.83 and 539.22

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Solution

The fourth proportional to 1,463.70, 2,194.83 and 539.22 is: 808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.70 : 2,194.83 = 539.22 : x
  2. Step 2: Convert to fraction form
    1,463.70/2,194.83 = 539.22/x
  3. Step 3: Cross multiply
    1,463.70x = 2,194.83 × 539.22
  4. Step 4: Simplify right side
    1,463.70x = 1,183,496.23
  5. Step 5: Solve for x
    x = 1,183,496.23/1,463.70
  6. Step 6: Final answer
    x = 808.56

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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.