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Finding the Fourth Proportional to 968.03, 1,453.92 and 829.52

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Solution

The fourth proportional to 968.03, 1,453.92 and 829.52 is: 1,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.03 : 1,453.92 = 829.52 : x
  2. Step 2: Convert to fraction form
    968.03/1,453.92 = 829.52/x
  3. Step 3: Cross multiply
    968.03x = 1,453.92 × 829.52
  4. Step 4: Simplify right side
    968.03x = 1,206,051.57
  5. Step 5: Solve for x
    x = 1,206,051.57/968.03
  6. Step 6: Final answer
    x = 1,245.88

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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.