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Finding the Fourth Proportional to 1,170.20, 1,757.73 and 928.41

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Solution

The fourth proportional to 1,170.20, 1,757.73 and 928.41 is: 1,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.20 : 1,757.73 = 928.41 : x
  2. Step 2: Convert to fraction form
    1,170.20/1,757.73 = 928.41/x
  3. Step 3: Cross multiply
    1,170.20x = 1,757.73 × 928.41
  4. Step 4: Simplify right side
    1,170.20x = 1,631,893.05
  5. Step 5: Solve for x
    x = 1,631,893.05/1,170.20
  6. Step 6: Final answer
    x = 1,394.55

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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.