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Finding the Fourth Proportional to 1,163.85, 1,604.80 and 848.55

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Solution

The fourth proportional to 1,163.85, 1,604.80 and 848.55 is: 1,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.85 : 1,604.80 = 848.55 : x
  2. Step 2: Convert to fraction form
    1,163.85/1,604.80 = 848.55/x
  3. Step 3: Cross multiply
    1,163.85x = 1,604.80 × 848.55
  4. Step 4: Simplify right side
    1,163.85x = 1,361,755.35
  5. Step 5: Solve for x
    x = 1,361,755.35/1,163.85
  6. Step 6: Final answer
    x = 1,170.05

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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.