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Finding the Fourth Proportional to 1,194.71, 1,792.19 and 414.71

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Solution

The fourth proportional to 1,194.71, 1,792.19 and 414.71 is: 622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.71 : 1,792.19 = 414.71 : x
  2. Step 2: Convert to fraction form
    1,194.71/1,792.19 = 414.71/x
  3. Step 3: Cross multiply
    1,194.71x = 1,792.19 × 414.71
  4. Step 4: Simplify right side
    1,194.71x = 743,239.11
  5. Step 5: Solve for x
    x = 743,239.11/1,194.71
  6. Step 6: Final answer
    x = 622.11

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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.