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Finding the Fourth Proportional to 969.63, 1,338.22 and 550.05

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Solution

The fourth proportional to 969.63, 1,338.22 and 550.05 is: 759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.63 : 1,338.22 = 550.05 : x
  2. Step 2: Convert to fraction form
    969.63/1,338.22 = 550.05/x
  3. Step 3: Cross multiply
    969.63x = 1,338.22 × 550.05
  4. Step 4: Simplify right side
    969.63x = 736,087.91
  5. Step 5: Solve for x
    x = 736,087.91/969.63
  6. Step 6: Final answer
    x = 759.14

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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.