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Finding the Fourth Proportional to 1,027.72, 1,541.76 and 334.54

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Solution

The fourth proportional to 1,027.72, 1,541.76 and 334.54 is: 501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.72 : 1,541.76 = 334.54 : x
  2. Step 2: Convert to fraction form
    1,027.72/1,541.76 = 334.54/x
  3. Step 3: Cross multiply
    1,027.72x = 1,541.76 × 334.54
  4. Step 4: Simplify right side
    1,027.72x = 515,780.39
  5. Step 5: Solve for x
    x = 515,780.39/1,027.72
  6. Step 6: Final answer
    x = 501.87

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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.