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Finding the Fourth Proportional to 950.30, 1,310.81 and 614.64

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Solution

The fourth proportional to 950.30, 1,310.81 and 614.64 is: 847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.30 : 1,310.81 = 614.64 : x
  2. Step 2: Convert to fraction form
    950.30/1,310.81 = 614.64/x
  3. Step 3: Cross multiply
    950.30x = 1,310.81 × 614.64
  4. Step 4: Simplify right side
    950.30x = 805,676.26
  5. Step 5: Solve for x
    x = 805,676.26/950.30
  6. Step 6: Final answer
    x = 847.81

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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.