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Finding the Fourth Proportional to 1,166.15, 1,609.41 and 668.69

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Solution

The fourth proportional to 1,166.15, 1,609.41 and 668.69 is: 922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.15 : 1,609.41 = 668.69 : x
  2. Step 2: Convert to fraction form
    1,166.15/1,609.41 = 668.69/x
  3. Step 3: Cross multiply
    1,166.15x = 1,609.41 × 668.69
  4. Step 4: Simplify right side
    1,166.15x = 1,076,196.37
  5. Step 5: Solve for x
    x = 1,076,196.37/1,166.15
  6. Step 6: Final answer
    x = 922.86

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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.