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Finding the Fourth Proportional to 1,166.14, 1,609.26 and 662.09

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Solution

The fourth proportional to 1,166.14, 1,609.26 and 662.09 is: 913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.14 : 1,609.26 = 662.09 : x
  2. Step 2: Convert to fraction form
    1,166.14/1,609.26 = 662.09/x
  3. Step 3: Cross multiply
    1,166.14x = 1,609.26 × 662.09
  4. Step 4: Simplify right side
    1,166.14x = 1,065,474.95
  5. Step 5: Solve for x
    x = 1,065,474.95/1,166.14
  6. Step 6: Final answer
    x = 913.68

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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.