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Finding the Fourth Proportional to 1,032.56, 1,548.54 and 301.97

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Solution

The fourth proportional to 1,032.56, 1,548.54 and 301.97 is: 452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.56 : 1,548.54 = 301.97 : x
  2. Step 2: Convert to fraction form
    1,032.56/1,548.54 = 301.97/x
  3. Step 3: Cross multiply
    1,032.56x = 1,548.54 × 301.97
  4. Step 4: Simplify right side
    1,032.56x = 467,604.88
  5. Step 5: Solve for x
    x = 467,604.88/1,032.56
  6. Step 6: Final answer
    x = 452.86

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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.