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Finding the Fourth Proportional to 1,195.78, 1,792.14 and 464.62

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Solution

The fourth proportional to 1,195.78, 1,792.14 and 464.62 is: 696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.78 : 1,792.14 = 464.62 : x
  2. Step 2: Convert to fraction form
    1,195.78/1,792.14 = 464.62/x
  3. Step 3: Cross multiply
    1,195.78x = 1,792.14 × 464.62
  4. Step 4: Simplify right side
    1,195.78x = 832,664.09
  5. Step 5: Solve for x
    x = 832,664.09/1,195.78
  6. Step 6: Final answer
    x = 696.34

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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.