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Finding the Fourth Proportional to 968.44, 1,452.66 and 823.86

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Solution

The fourth proportional to 968.44, 1,452.66 and 823.86 is: 1,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.44 : 1,452.66 = 823.86 : x
  2. Step 2: Convert to fraction form
    968.44/1,452.66 = 823.86/x
  3. Step 3: Cross multiply
    968.44x = 1,452.66 × 823.86
  4. Step 4: Simplify right side
    968.44x = 1,196,788.47
  5. Step 5: Solve for x
    x = 1,196,788.47/968.44
  6. Step 6: Final answer
    x = 1,235.79

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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.