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Finding the Fourth Proportional to 1,463.75, 2,019.97 and 800.62

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Solution

The fourth proportional to 1,463.75, 2,019.97 and 800.62 is: 1,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.75 : 2,019.97 = 800.62 : x
  2. Step 2: Convert to fraction form
    1,463.75/2,019.97 = 800.62/x
  3. Step 3: Cross multiply
    1,463.75x = 2,019.97 × 800.62
  4. Step 4: Simplify right side
    1,463.75x = 1,617,224.33
  5. Step 5: Solve for x
    x = 1,617,224.33/1,463.75
  6. Step 6: Final answer
    x = 1,104.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.