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Finding the Fourth Proportional to 1,463, 2,194.56 and 489.08

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Solution

The fourth proportional to 1,463, 2,194.56 and 489.08 is: 733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463 : 2,194.56 = 489.08 : x
  2. Step 2: Convert to fraction form
    1,463/2,194.56 = 489.08/x
  3. Step 3: Cross multiply
    1,463x = 2,194.56 × 489.08
  4. Step 4: Simplify right side
    1,463x = 1,073,315.40
  5. Step 5: Solve for x
    x = 1,073,315.40/1,463
  6. Step 6: Final answer
    x = 733.64

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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.