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Finding the Fourth Proportional to 969.69, 1,338.13 and 550.06

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Solution

The fourth proportional to 969.69, 1,338.13 and 550.06 is: 759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.69 : 1,338.13 = 550.06 : x
  2. Step 2: Convert to fraction form
    969.69/1,338.13 = 550.06/x
  3. Step 3: Cross multiply
    969.69x = 1,338.13 × 550.06
  4. Step 4: Simplify right side
    969.69x = 736,051.79
  5. Step 5: Solve for x
    x = 736,051.79/969.69
  6. Step 6: Final answer
    x = 759.06

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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.