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Finding the Fourth Proportional to 1,292.71, 1,940.28 and 676.86

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Solution

The fourth proportional to 1,292.71, 1,940.28 and 676.86 is: 1,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.71 : 1,940.28 = 676.86 : x
  2. Step 2: Convert to fraction form
    1,292.71/1,940.28 = 676.86/x
  3. Step 3: Cross multiply
    1,292.71x = 1,940.28 × 676.86
  4. Step 4: Simplify right side
    1,292.71x = 1,313,290.01
  5. Step 5: Solve for x
    x = 1,313,290.01/1,292.71
  6. Step 6: Final answer
    x = 1,015.92

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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.