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Finding the Fourth Proportional to 1,257.71, 1,884.53 and 769.28

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Solution

The fourth proportional to 1,257.71, 1,884.53 and 769.28 is: 1,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.71 : 1,884.53 = 769.28 : x
  2. Step 2: Convert to fraction form
    1,257.71/1,884.53 = 769.28/x
  3. Step 3: Cross multiply
    1,257.71x = 1,884.53 × 769.28
  4. Step 4: Simplify right side
    1,257.71x = 1,449,717.97
  5. Step 5: Solve for x
    x = 1,449,717.97/1,257.71
  6. Step 6: Final answer
    x = 1,152.67

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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.