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Finding the Fourth Proportional to 943.78, 1,301.50 and 851.51

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Solution

The fourth proportional to 943.78, 1,301.50 and 851.51 is: 1,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.78 : 1,301.50 = 851.51 : x
  2. Step 2: Convert to fraction form
    943.78/1,301.50 = 851.51/x
  3. Step 3: Cross multiply
    943.78x = 1,301.50 × 851.51
  4. Step 4: Simplify right side
    943.78x = 1,108,240.27
  5. Step 5: Solve for x
    x = 1,108,240.27/943.78
  6. Step 6: Final answer
    x = 1,174.26

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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.