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Finding the Fourth Proportional to 1,169.89, 1,614.42 and 645.91

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Solution

The fourth proportional to 1,169.89, 1,614.42 and 645.91 is: 891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.89 : 1,614.42 = 645.91 : x
  2. Step 2: Convert to fraction form
    1,169.89/1,614.42 = 645.91/x
  3. Step 3: Cross multiply
    1,169.89x = 1,614.42 × 645.91
  4. Step 4: Simplify right side
    1,169.89x = 1,042,770.02
  5. Step 5: Solve for x
    x = 1,042,770.02/1,169.89
  6. Step 6: Final answer
    x = 891.34

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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.