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Finding the Fourth Proportional to 1,482.14, 2,224.55 and 789.39

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Solution

The fourth proportional to 1,482.14, 2,224.55 and 789.39 is: 1,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.14 : 2,224.55 = 789.39 : x
  2. Step 2: Convert to fraction form
    1,482.14/2,224.55 = 789.39/x
  3. Step 3: Cross multiply
    1,482.14x = 2,224.55 × 789.39
  4. Step 4: Simplify right side
    1,482.14x = 1,756,039.50
  5. Step 5: Solve for x
    x = 1,756,039.50/1,482.14
  6. Step 6: Final answer
    x = 1,184.80

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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.