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Finding the Fourth Proportional to 1,166.21, 1,749.30 and 344.41

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Solution

The fourth proportional to 1,166.21, 1,749.30 and 344.41 is: 516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.21 : 1,749.30 = 344.41 : x
  2. Step 2: Convert to fraction form
    1,166.21/1,749.30 = 344.41/x
  3. Step 3: Cross multiply
    1,166.21x = 1,749.30 × 344.41
  4. Step 4: Simplify right side
    1,166.21x = 602,472.04
  5. Step 5: Solve for x
    x = 602,472.04/1,166.21
  6. Step 6: Final answer
    x = 516.61

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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.