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Finding the Fourth Proportional to 950.16, 1,310.19 and 617.97

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Solution

The fourth proportional to 950.16, 1,310.19 and 617.97 is: 852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.16 : 1,310.19 = 617.97 : x
  2. Step 2: Convert to fraction form
    950.16/1,310.19 = 617.97/x
  3. Step 3: Cross multiply
    950.16x = 1,310.19 × 617.97
  4. Step 4: Simplify right side
    950.16x = 809,662.93
  5. Step 5: Solve for x
    x = 809,662.93/950.16
  6. Step 6: Final answer
    x = 852.13

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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.