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Finding the Fourth Proportional to 1,414.25, 2,120.86 and 489.56

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Solution

The fourth proportional to 1,414.25, 2,120.86 and 489.56 is: 734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.25 : 2,120.86 = 489.56 : x
  2. Step 2: Convert to fraction form
    1,414.25/2,120.86 = 489.56/x
  3. Step 3: Cross multiply
    1,414.25x = 2,120.86 × 489.56
  4. Step 4: Simplify right side
    1,414.25x = 1,038,278.23
  5. Step 5: Solve for x
    x = 1,038,278.23/1,414.25
  6. Step 6: Final answer
    x = 734.16

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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.