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Finding the Fourth Proportional to 1,541.31, 2,313.61 and 664.24

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Solution

The fourth proportional to 1,541.31, 2,313.61 and 664.24 is: 997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.31 : 2,313.61 = 664.24 : x
  2. Step 2: Convert to fraction form
    1,541.31/2,313.61 = 664.24/x
  3. Step 3: Cross multiply
    1,541.31x = 2,313.61 × 664.24
  4. Step 4: Simplify right side
    1,541.31x = 1,536,799.44
  5. Step 5: Solve for x
    x = 1,536,799.44/1,541.31
  6. Step 6: Final answer
    x = 997.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.