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Finding the Fourth Proportional to 1,293.92, 1,938.75 and 676.70

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Solution

The fourth proportional to 1,293.92, 1,938.75 and 676.70 is: 1,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.92 : 1,938.75 = 676.70 : x
  2. Step 2: Convert to fraction form
    1,293.92/1,938.75 = 676.70/x
  3. Step 3: Cross multiply
    1,293.92x = 1,938.75 × 676.70
  4. Step 4: Simplify right side
    1,293.92x = 1,311,947.16
  5. Step 5: Solve for x
    x = 1,311,947.16/1,293.92
  6. Step 6: Final answer
    x = 1,013.93

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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.