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Finding the Fourth Proportional to 969.52, 1,453.92 and 830.56

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Solution

The fourth proportional to 969.52, 1,453.92 and 830.56 is: 1,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.52 : 1,453.92 = 830.56 : x
  2. Step 2: Convert to fraction form
    969.52/1,453.92 = 830.56/x
  3. Step 3: Cross multiply
    969.52x = 1,453.92 × 830.56
  4. Step 4: Simplify right side
    969.52x = 1,207,567.80
  5. Step 5: Solve for x
    x = 1,207,567.80/969.52
  6. Step 6: Final answer
    x = 1,245.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.