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Finding the Fourth Proportional to 969.74, 1,338.25 and 571.42

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Solution

The fourth proportional to 969.74, 1,338.25 and 571.42 is: 788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.74 : 1,338.25 = 571.42 : x
  2. Step 2: Convert to fraction form
    969.74/1,338.25 = 571.42/x
  3. Step 3: Cross multiply
    969.74x = 1,338.25 × 571.42
  4. Step 4: Simplify right side
    969.74x = 764,704.13
  5. Step 5: Solve for x
    x = 764,704.13/969.74
  6. Step 6: Final answer
    x = 788.56

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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.