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Finding the Fourth Proportional to 1,353.88, 2,027.56 and 775

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Solution

The fourth proportional to 1,353.88, 2,027.56 and 775 is: 1,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.88 : 2,027.56 = 775 : x
  2. Step 2: Convert to fraction form
    1,353.88/2,027.56 = 775/x
  3. Step 3: Cross multiply
    1,353.88x = 2,027.56 × 775
  4. Step 4: Simplify right side
    1,353.88x = 1,571,359
  5. Step 5: Solve for x
    x = 1,571,359/1,353.88
  6. Step 6: Final answer
    x = 1,160.63

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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.