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Finding the Fourth Proportional to 821.76, 1,232.91 and 513.83

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Solution

The fourth proportional to 821.76, 1,232.91 and 513.83 is: 770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.76 : 1,232.91 = 513.83 : x
  2. Step 2: Convert to fraction form
    821.76/1,232.91 = 513.83/x
  3. Step 3: Cross multiply
    821.76x = 1,232.91 × 513.83
  4. Step 4: Simplify right side
    821.76x = 633,499.98
  5. Step 5: Solve for x
    x = 633,499.98/821.76
  6. Step 6: Final answer
    x = 770.91

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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.