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Finding the Fourth Proportional to 1,449.70, 2,172.71 and 678.50

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Solution

The fourth proportional to 1,449.70, 2,172.71 and 678.50 is: 1,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.70 : 2,172.71 = 678.50 : x
  2. Step 2: Convert to fraction form
    1,449.70/2,172.71 = 678.50/x
  3. Step 3: Cross multiply
    1,449.70x = 2,172.71 × 678.50
  4. Step 4: Simplify right side
    1,449.70x = 1,474,183.74
  5. Step 5: Solve for x
    x = 1,474,183.74/1,449.70
  6. Step 6: Final answer
    x = 1,016.89

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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.