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Finding the Fourth Proportional to 1,112.71, 1,668.51 and 419.20

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Solution

The fourth proportional to 1,112.71, 1,668.51 and 419.20 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.71 : 1,668.51 = 419.20 : x
  2. Step 2: Convert to fraction form
    1,112.71/1,668.51 = 419.20/x
  3. Step 3: Cross multiply
    1,112.71x = 1,668.51 × 419.20
  4. Step 4: Simplify right side
    1,112.71x = 699,439.39
  5. Step 5: Solve for x
    x = 699,439.39/1,112.71
  6. Step 6: Final answer
    x = 628.59

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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.