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Finding the Fourth Proportional to 1,195.62, 1,792.35 and 465.63

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Solution

The fourth proportional to 1,195.62, 1,792.35 and 465.63 is: 698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.62 : 1,792.35 = 465.63 : x
  2. Step 2: Convert to fraction form
    1,195.62/1,792.35 = 465.63/x
  3. Step 3: Cross multiply
    1,195.62x = 1,792.35 × 465.63
  4. Step 4: Simplify right side
    1,195.62x = 834,571.93
  5. Step 5: Solve for x
    x = 834,571.93/1,195.62
  6. Step 6: Final answer
    x = 698.02

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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.