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Finding the Fourth Proportional to 938.00, 1,294.43 and 518.33

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Solution

The fourth proportional to 938.00, 1,294.43 and 518.33 is: 715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.00 : 1,294.43 = 518.33 : x
  2. Step 2: Convert to fraction form
    938.00/1,294.43 = 518.33/x
  3. Step 3: Cross multiply
    938.00x = 1,294.43 × 518.33
  4. Step 4: Simplify right side
    938.00x = 670,932.84
  5. Step 5: Solve for x
    x = 670,932.84/938.00
  6. Step 6: Final answer
    x = 715.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.