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Finding the Fourth Proportional to 993.01, 1,369.51 and 938.29

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Solution

The fourth proportional to 993.01, 1,369.51 and 938.29 is: 1,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.01 : 1,369.51 = 938.29 : x
  2. Step 2: Convert to fraction form
    993.01/1,369.51 = 938.29/x
  3. Step 3: Cross multiply
    993.01x = 1,369.51 × 938.29
  4. Step 4: Simplify right side
    993.01x = 1,284,997.54
  5. Step 5: Solve for x
    x = 1,284,997.54/993.01
  6. Step 6: Final answer
    x = 1,294.04

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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.