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Finding the Fourth Proportional to 943.29, 1,301.75 and 550.30

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Solution

The fourth proportional to 943.29, 1,301.75 and 550.30 is: 759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.29 : 1,301.75 = 550.30 : x
  2. Step 2: Convert to fraction form
    943.29/1,301.75 = 550.30/x
  3. Step 3: Cross multiply
    943.29x = 1,301.75 × 550.30
  4. Step 4: Simplify right side
    943.29x = 716,353.03
  5. Step 5: Solve for x
    x = 716,353.03/943.29
  6. Step 6: Final answer
    x = 759.42

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