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Finding the Fourth Proportional to 1,166.89, 1,609.20 and 767.85

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Solution

The fourth proportional to 1,166.89, 1,609.20 and 767.85 is: 1,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.89 : 1,609.20 = 767.85 : x
  2. Step 2: Convert to fraction form
    1,166.89/1,609.20 = 767.85/x
  3. Step 3: Cross multiply
    1,166.89x = 1,609.20 × 767.85
  4. Step 4: Simplify right side
    1,166.89x = 1,235,624.22
  5. Step 5: Solve for x
    x = 1,235,624.22/1,166.89
  6. Step 6: Final answer
    x = 1,058.90

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