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Finding the Fourth Proportional to 1,163.42, 1,605.94 and 770.57

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Solution

The fourth proportional to 1,163.42, 1,605.94 and 770.57 is: 1,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.42 : 1,605.94 = 770.57 : x
  2. Step 2: Convert to fraction form
    1,163.42/1,605.94 = 770.57/x
  3. Step 3: Cross multiply
    1,163.42x = 1,605.94 × 770.57
  4. Step 4: Simplify right side
    1,163.42x = 1,237,481.16
  5. Step 5: Solve for x
    x = 1,237,481.16/1,163.42
  6. Step 6: Final answer
    x = 1,063.66

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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.