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Finding the Fourth Proportional to 1,112.06, 1,668.36 and 381.52

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Solution

The fourth proportional to 1,112.06, 1,668.36 and 381.52 is: 572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.06 : 1,668.36 = 381.52 : x
  2. Step 2: Convert to fraction form
    1,112.06/1,668.36 = 381.52/x
  3. Step 3: Cross multiply
    1,112.06x = 1,668.36 × 381.52
  4. Step 4: Simplify right side
    1,112.06x = 636,512.71
  5. Step 5: Solve for x
    x = 636,512.71/1,112.06
  6. Step 6: Final answer
    x = 572.37

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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.