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Finding the Fourth Proportional to 1,112.11, 1,668.17 and 342.61

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Solution

The fourth proportional to 1,112.11, 1,668.17 and 342.61 is: 513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.11 : 1,668.17 = 342.61 : x
  2. Step 2: Convert to fraction form
    1,112.11/1,668.17 = 342.61/x
  3. Step 3: Cross multiply
    1,112.11x = 1,668.17 × 342.61
  4. Step 4: Simplify right side
    1,112.11x = 571,525.84
  5. Step 5: Solve for x
    x = 571,525.84/1,112.11
  6. Step 6: Final answer
    x = 513.91

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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.