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Finding the Fourth Proportional to 1,293, 1,938.03 and 829.68

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Solution

The fourth proportional to 1,293, 1,938.03 and 829.68 is: 1,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293 : 1,938.03 = 829.68 : x
  2. Step 2: Convert to fraction form
    1,293/1,938.03 = 829.68/x
  3. Step 3: Cross multiply
    1,293x = 1,938.03 × 829.68
  4. Step 4: Simplify right side
    1,293x = 1,607,944.73
  5. Step 5: Solve for x
    x = 1,607,944.73/1,293
  6. Step 6: Final answer
    x = 1,243.58

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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.