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Finding the Fourth Proportional to 1,027.34, 1,541 and 296.92

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Solution

The fourth proportional to 1,027.34, 1,541 and 296.92 is: 445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.34 : 1,541 = 296.92 : x
  2. Step 2: Convert to fraction form
    1,027.34/1,541 = 296.92/x
  3. Step 3: Cross multiply
    1,027.34x = 1,541 × 296.92
  4. Step 4: Simplify right side
    1,027.34x = 457,553.72
  5. Step 5: Solve for x
    x = 457,553.72/1,027.34
  6. Step 6: Final answer
    x = 445.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.