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Finding the Fourth Proportional to 1,194.57, 1,792.44 and 464.22

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Solution

The fourth proportional to 1,194.57, 1,792.44 and 464.22 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.57 : 1,792.44 = 464.22 : x
  2. Step 2: Convert to fraction form
    1,194.57/1,792.44 = 464.22/x
  3. Step 3: Cross multiply
    1,194.57x = 1,792.44 × 464.22
  4. Step 4: Simplify right side
    1,194.57x = 832,086.50
  5. Step 5: Solve for x
    x = 832,086.50/1,194.57
  6. Step 6: Final answer
    x = 696.56

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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.