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Finding the Fourth Proportional to 1,169.90, 1,744 and 1,082.42

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Solution

The fourth proportional to 1,169.90, 1,744 and 1,082.42 is: 1,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.90 : 1,744 = 1,082.42 : x
  2. Step 2: Convert to fraction form
    1,169.90/1,744 = 1,082.42/x
  3. Step 3: Cross multiply
    1,169.90x = 1,744 × 1,082.42
  4. Step 4: Simplify right side
    1,169.90x = 1,887,740.48
  5. Step 5: Solve for x
    x = 1,887,740.48/1,169.90
  6. Step 6: Final answer
    x = 1,613.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.