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Finding the Fourth Proportional to 850.35, 1,173.84 and 518.90

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Solution

The fourth proportional to 850.35, 1,173.84 and 518.90 is: 716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.35 : 1,173.84 = 518.90 : x
  2. Step 2: Convert to fraction form
    850.35/1,173.84 = 518.90/x
  3. Step 3: Cross multiply
    850.35x = 1,173.84 × 518.90
  4. Step 4: Simplify right side
    850.35x = 609,099.71
  5. Step 5: Solve for x
    x = 609,099.71/850.35
  6. Step 6: Final answer
    x = 716.29

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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.