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Finding the Fourth Proportional to 1,194.72, 1,792.32 and 414.68

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Solution

The fourth proportional to 1,194.72, 1,792.32 and 414.68 is: 622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.72 : 1,792.32 = 414.68 : x
  2. Step 2: Convert to fraction form
    1,194.72/1,792.32 = 414.68/x
  3. Step 3: Cross multiply
    1,194.72x = 1,792.32 × 414.68
  4. Step 4: Simplify right side
    1,194.72x = 743,239.26
  5. Step 5: Solve for x
    x = 743,239.26/1,194.72
  6. Step 6: Final answer
    x = 622.10

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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.