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Finding the Fourth Proportional to 1,194.92, 1,792.16 and 464.56

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Solution

The fourth proportional to 1,194.92, 1,792.16 and 464.56 is: 696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.92 : 1,792.16 = 464.56 : x
  2. Step 2: Convert to fraction form
    1,194.92/1,792.16 = 464.56/x
  3. Step 3: Cross multiply
    1,194.92x = 1,792.16 × 464.56
  4. Step 4: Simplify right side
    1,194.92x = 832,565.85
  5. Step 5: Solve for x
    x = 832,565.85/1,194.92
  6. Step 6: Final answer
    x = 696.75

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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.