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Finding the Fourth Proportional to 1,542.54, 2,313.82 and 664.98

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Solution

The fourth proportional to 1,542.54, 2,313.82 and 664.98 is: 997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.54 : 2,313.82 = 664.98 : x
  2. Step 2: Convert to fraction form
    1,542.54/2,313.82 = 664.98/x
  3. Step 3: Cross multiply
    1,542.54x = 2,313.82 × 664.98
  4. Step 4: Simplify right side
    1,542.54x = 1,538,644.02
  5. Step 5: Solve for x
    x = 1,538,644.02/1,542.54
  6. Step 6: Final answer
    x = 997.47

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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.