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Finding the Fourth Proportional to 796.50, 1,099.17 and 563.76

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Solution

The fourth proportional to 796.50, 1,099.17 and 563.76 is: 777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.50 : 1,099.17 = 563.76 : x
  2. Step 2: Convert to fraction form
    796.50/1,099.17 = 563.76/x
  3. Step 3: Cross multiply
    796.50x = 1,099.17 × 563.76
  4. Step 4: Simplify right side
    796.50x = 619,668.08
  5. Step 5: Solve for x
    x = 619,668.08/796.50
  6. Step 6: Final answer
    x = 777.99

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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.