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Finding the Fourth Proportional to 852.10, 1,276.63 and 517.94

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Solution

The fourth proportional to 852.10, 1,276.63 and 517.94 is: 775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.10 : 1,276.63 = 517.94 : x
  2. Step 2: Convert to fraction form
    852.10/1,276.63 = 517.94/x
  3. Step 3: Cross multiply
    852.10x = 1,276.63 × 517.94
  4. Step 4: Simplify right side
    852.10x = 661,217.74
  5. Step 5: Solve for x
    x = 661,217.74/852.10
  6. Step 6: Final answer
    x = 775.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.