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Finding the Fourth Proportional to 1,195.63, 1,792.94 and 464.70

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Solution

The fourth proportional to 1,195.63, 1,792.94 and 464.70 is: 696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.63 : 1,792.94 = 464.70 : x
  2. Step 2: Convert to fraction form
    1,195.63/1,792.94 = 464.70/x
  3. Step 3: Cross multiply
    1,195.63x = 1,792.94 × 464.70
  4. Step 4: Simplify right side
    1,195.63x = 833,183.62
  5. Step 5: Solve for x
    x = 833,183.62/1,195.63
  6. Step 6: Final answer
    x = 696.86

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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.