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Finding the Fourth Proportional to 1,257.42, 1,886.67 and 680.25

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Solution

The fourth proportional to 1,257.42, 1,886.67 and 680.25 is: 1,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.42 : 1,886.67 = 680.25 : x
  2. Step 2: Convert to fraction form
    1,257.42/1,886.67 = 680.25/x
  3. Step 3: Cross multiply
    1,257.42x = 1,886.67 × 680.25
  4. Step 4: Simplify right side
    1,257.42x = 1,283,407.27
  5. Step 5: Solve for x
    x = 1,283,407.27/1,257.42
  6. Step 6: Final answer
    x = 1,020.67

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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.