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Finding the Fourth Proportional to 943.74, 1,302.22 and 550.69

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Solution

The fourth proportional to 943.74, 1,302.22 and 550.69 is: 759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.74 : 1,302.22 = 550.69 : x
  2. Step 2: Convert to fraction form
    943.74/1,302.22 = 550.69/x
  3. Step 3: Cross multiply
    943.74x = 1,302.22 × 550.69
  4. Step 4: Simplify right side
    943.74x = 717,119.53
  5. Step 5: Solve for x
    x = 717,119.53/943.74
  6. Step 6: Final answer
    x = 759.87

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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.