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Finding the Fourth Proportional to 1,194.94, 1,792.28 and 414.81

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Solution

The fourth proportional to 1,194.94, 1,792.28 and 414.81 is: 622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.94 : 1,792.28 = 414.81 : x
  2. Step 2: Convert to fraction form
    1,194.94/1,792.28 = 414.81/x
  3. Step 3: Cross multiply
    1,194.94x = 1,792.28 × 414.81
  4. Step 4: Simplify right side
    1,194.94x = 743,444.63
  5. Step 5: Solve for x
    x = 743,444.63/1,194.94
  6. Step 6: Final answer
    x = 622.16

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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.