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Finding the Fourth Proportional to 1,162.03, 1,605.05 and 868.63

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Solution

The fourth proportional to 1,162.03, 1,605.05 and 868.63 is: 1,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.03 : 1,605.05 = 868.63 : x
  2. Step 2: Convert to fraction form
    1,162.03/1,605.05 = 868.63/x
  3. Step 3: Cross multiply
    1,162.03x = 1,605.05 × 868.63
  4. Step 4: Simplify right side
    1,162.03x = 1,394,190.24
  5. Step 5: Solve for x
    x = 1,394,190.24/1,162.03
  6. Step 6: Final answer
    x = 1,199.79

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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.