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Finding the Fourth Proportional to 1,116.73, 1,541.22 and 668.89

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Solution

The fourth proportional to 1,116.73, 1,541.22 and 668.89 is: 923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.73 : 1,541.22 = 668.89 : x
  2. Step 2: Convert to fraction form
    1,116.73/1,541.22 = 668.89/x
  3. Step 3: Cross multiply
    1,116.73x = 1,541.22 × 668.89
  4. Step 4: Simplify right side
    1,116.73x = 1,030,906.65
  5. Step 5: Solve for x
    x = 1,030,906.65/1,116.73
  6. Step 6: Final answer
    x = 923.15

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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.