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Finding the Fourth Proportional to 1,463.08, 2,194.78 and 489.64

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Solution

The fourth proportional to 1,463.08, 2,194.78 and 489.64 is: 734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.08 : 2,194.78 = 489.64 : x
  2. Step 2: Convert to fraction form
    1,463.08/2,194.78 = 489.64/x
  3. Step 3: Cross multiply
    1,463.08x = 2,194.78 × 489.64
  4. Step 4: Simplify right side
    1,463.08x = 1,074,652.08
  5. Step 5: Solve for x
    x = 1,074,652.08/1,463.08
  6. Step 6: Final answer
    x = 734.51

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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.