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Finding the Fourth Proportional to 943.03, 1,301.43 and 709.75

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Solution

The fourth proportional to 943.03, 1,301.43 and 709.75 is: 979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.03 : 1,301.43 = 709.75 : x
  2. Step 2: Convert to fraction form
    943.03/1,301.43 = 709.75/x
  3. Step 3: Cross multiply
    943.03x = 1,301.43 × 709.75
  4. Step 4: Simplify right side
    943.03x = 923,689.94
  5. Step 5: Solve for x
    x = 923,689.94/943.03
  6. Step 6: Final answer
    x = 979.49

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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.