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Finding the Fourth Proportional to 850.20, 1,175.64 and 675.24

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Solution

The fourth proportional to 850.20, 1,175.64 and 675.24 is: 933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.20 : 1,175.64 = 675.24 : x
  2. Step 2: Convert to fraction form
    850.20/1,175.64 = 675.24/x
  3. Step 3: Cross multiply
    850.20x = 1,175.64 × 675.24
  4. Step 4: Simplify right side
    850.20x = 793,839.15
  5. Step 5: Solve for x
    x = 793,839.15/850.20
  6. Step 6: Final answer
    x = 933.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.