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Finding the Fourth Proportional to 1,167.26, 1,744.11 and 883.96

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Solution

The fourth proportional to 1,167.26, 1,744.11 and 883.96 is: 1,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.26 : 1,744.11 = 883.96 : x
  2. Step 2: Convert to fraction form
    1,167.26/1,744.11 = 883.96/x
  3. Step 3: Cross multiply
    1,167.26x = 1,744.11 × 883.96
  4. Step 4: Simplify right side
    1,167.26x = 1,541,719.12
  5. Step 5: Solve for x
    x = 1,541,719.12/1,167.26
  6. Step 6: Final answer
    x = 1,320.81

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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.