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Finding the Fourth Proportional to 1,026.54, 1,540.42 and 377.73

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Solution

The fourth proportional to 1,026.54, 1,540.42 and 377.73 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.54 : 1,540.42 = 377.73 : x
  2. Step 2: Convert to fraction form
    1,026.54/1,540.42 = 377.73/x
  3. Step 3: Cross multiply
    1,026.54x = 1,540.42 × 377.73
  4. Step 4: Simplify right side
    1,026.54x = 581,861.90
  5. Step 5: Solve for x
    x = 581,861.90/1,026.54
  6. Step 6: Final answer
    x = 566.82

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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.