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Finding the Fourth Proportional to 1,166.26, 1,749.63 and 344.46

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Solution

The fourth proportional to 1,166.26, 1,749.63 and 344.46 is: 516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.26 : 1,749.63 = 344.46 : x
  2. Step 2: Convert to fraction form
    1,166.26/1,749.63 = 344.46/x
  3. Step 3: Cross multiply
    1,166.26x = 1,749.63 × 344.46
  4. Step 4: Simplify right side
    1,166.26x = 602,677.55
  5. Step 5: Solve for x
    x = 602,677.55/1,166.26
  6. Step 6: Final answer
    x = 516.76

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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.