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Finding the Fourth Proportional to 1,166.24, 1,749 and 516.24

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Solution

The fourth proportional to 1,166.24, 1,749 and 516.24 is: 774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.24 : 1,749 = 516.24 : x
  2. Step 2: Convert to fraction form
    1,166.24/1,749 = 516.24/x
  3. Step 3: Cross multiply
    1,166.24x = 1,749 × 516.24
  4. Step 4: Simplify right side
    1,166.24x = 902,903.76
  5. Step 5: Solve for x
    x = 902,903.76/1,166.24
  6. Step 6: Final answer
    x = 774.20

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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.