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Finding the Fourth Proportional to 1,194.49, 1,792.04 and 464.28

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Solution

The fourth proportional to 1,194.49, 1,792.04 and 464.28 is: 696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.49 : 1,792.04 = 464.28 : x
  2. Step 2: Convert to fraction form
    1,194.49/1,792.04 = 464.28/x
  3. Step 3: Cross multiply
    1,194.49x = 1,792.04 × 464.28
  4. Step 4: Simplify right side
    1,194.49x = 832,008.33
  5. Step 5: Solve for x
    x = 832,008.33/1,194.49
  6. Step 6: Final answer
    x = 696.54

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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.