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Finding the Fourth Proportional to 866.96, 1,298.74 and 822.68

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Solution

The fourth proportional to 866.96, 1,298.74 and 822.68 is: 1,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.96 : 1,298.74 = 822.68 : x
  2. Step 2: Convert to fraction form
    866.96/1,298.74 = 822.68/x
  3. Step 3: Cross multiply
    866.96x = 1,298.74 × 822.68
  4. Step 4: Simplify right side
    866.96x = 1,068,440.93
  5. Step 5: Solve for x
    x = 1,068,440.93/866.96
  6. Step 6: Final answer
    x = 1,232.41

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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.