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Finding the Fourth Proportional to 968.96, 1,453.34 and 828.83

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Solution

The fourth proportional to 968.96, 1,453.34 and 828.83 is: 1,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.96 : 1,453.34 = 828.83 : x
  2. Step 2: Convert to fraction form
    968.96/1,453.34 = 828.83/x
  3. Step 3: Cross multiply
    968.96x = 1,453.34 × 828.83
  4. Step 4: Simplify right side
    968.96x = 1,204,577.50
  5. Step 5: Solve for x
    x = 1,204,577.50/968.96
  6. Step 6: Final answer
    x = 1,243.16

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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.