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Finding the Fourth Proportional to 1,463.68, 2,194.86 and 539.08

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Solution

The fourth proportional to 1,463.68, 2,194.86 and 539.08 is: 808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.68 : 2,194.86 = 539.08 : x
  2. Step 2: Convert to fraction form
    1,463.68/2,194.86 = 539.08/x
  3. Step 3: Cross multiply
    1,463.68x = 2,194.86 × 539.08
  4. Step 4: Simplify right side
    1,463.68x = 1,183,205.13
  5. Step 5: Solve for x
    x = 1,183,205.13/1,463.68
  6. Step 6: Final answer
    x = 808.38

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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.