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Finding the Fourth Proportional to 1,131.73, 1,697.79 and 401.11

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Solution

The fourth proportional to 1,131.73, 1,697.79 and 401.11 is: 601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.73 : 1,697.79 = 401.11 : x
  2. Step 2: Convert to fraction form
    1,131.73/1,697.79 = 401.11/x
  3. Step 3: Cross multiply
    1,131.73x = 1,697.79 × 401.11
  4. Step 4: Simplify right side
    1,131.73x = 681,000.55
  5. Step 5: Solve for x
    x = 681,000.55/1,131.73
  6. Step 6: Final answer
    x = 601.73

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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.