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Finding the Fourth Proportional to 1,166.07, 1,609 and 668.73

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Solution

The fourth proportional to 1,166.07, 1,609 and 668.73 is: 922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.07 : 1,609 = 668.73 : x
  2. Step 2: Convert to fraction form
    1,166.07/1,609 = 668.73/x
  3. Step 3: Cross multiply
    1,166.07x = 1,609 × 668.73
  4. Step 4: Simplify right side
    1,166.07x = 1,075,986.57
  5. Step 5: Solve for x
    x = 1,075,986.57/1,166.07
  6. Step 6: Final answer
    x = 922.75

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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.