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Finding the Fourth Proportional to 1,027.77, 1,542.27 and 378.96

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Solution

The fourth proportional to 1,027.77, 1,542.27 and 378.96 is: 568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.77 : 1,542.27 = 378.96 : x
  2. Step 2: Convert to fraction form
    1,027.77/1,542.27 = 378.96/x
  3. Step 3: Cross multiply
    1,027.77x = 1,542.27 × 378.96
  4. Step 4: Simplify right side
    1,027.77x = 584,456.74
  5. Step 5: Solve for x
    x = 584,456.74/1,027.77
  6. Step 6: Final answer
    x = 568.66

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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.