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Finding the Fourth Proportional to 959.86, 1,323.83 and 828.64

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Solution

The fourth proportional to 959.86, 1,323.83 and 828.64 is: 1,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.86 : 1,323.83 = 828.64 : x
  2. Step 2: Convert to fraction form
    959.86/1,323.83 = 828.64/x
  3. Step 3: Cross multiply
    959.86x = 1,323.83 × 828.64
  4. Step 4: Simplify right side
    959.86x = 1,096,978.49
  5. Step 5: Solve for x
    x = 1,096,978.49/959.86
  6. Step 6: Final answer
    x = 1,142.85

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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.