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Finding the Fourth Proportional to 1,168.43, 1,752.84 and 465.75

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Solution

The fourth proportional to 1,168.43, 1,752.84 and 465.75 is: 698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.43 : 1,752.84 = 465.75 : x
  2. Step 2: Convert to fraction form
    1,168.43/1,752.84 = 465.75/x
  3. Step 3: Cross multiply
    1,168.43x = 1,752.84 × 465.75
  4. Step 4: Simplify right side
    1,168.43x = 816,385.23
  5. Step 5: Solve for x
    x = 816,385.23/1,168.43
  6. Step 6: Final answer
    x = 698.71

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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.