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Finding the Fourth Proportional to 1,166.33, 1,749.54 and 344.61

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Solution

The fourth proportional to 1,166.33, 1,749.54 and 344.61 is: 516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.33 : 1,749.54 = 344.61 : x
  2. Step 2: Convert to fraction form
    1,166.33/1,749.54 = 344.61/x
  3. Step 3: Cross multiply
    1,166.33x = 1,749.54 × 344.61
  4. Step 4: Simplify right side
    1,166.33x = 602,908.98
  5. Step 5: Solve for x
    x = 602,908.98/1,166.33
  6. Step 6: Final answer
    x = 516.93

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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.