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Finding the Fourth Proportional to 950.31, 1,311.60 and 614.63

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Solution

The fourth proportional to 950.31, 1,311.60 and 614.63 is: 848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.31 : 1,311.60 = 614.63 : x
  2. Step 2: Convert to fraction form
    950.31/1,311.60 = 614.63/x
  3. Step 3: Cross multiply
    950.31x = 1,311.60 × 614.63
  4. Step 4: Simplify right side
    950.31x = 806,142.15
  5. Step 5: Solve for x
    x = 806,142.15/950.31
  6. Step 6: Final answer
    x = 848.29

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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.