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Finding the Fourth Proportional to 1,191.57, 1,788.12 and 801.72

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Solution

The fourth proportional to 1,191.57, 1,788.12 and 801.72 is: 1,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.57 : 1,788.12 = 801.72 : x
  2. Step 2: Convert to fraction form
    1,191.57/1,788.12 = 801.72/x
  3. Step 3: Cross multiply
    1,191.57x = 1,788.12 × 801.72
  4. Step 4: Simplify right side
    1,191.57x = 1,433,571.57
  5. Step 5: Solve for x
    x = 1,433,571.57/1,191.57
  6. Step 6: Final answer
    x = 1,203.09

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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.