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Finding the Fourth Proportional to 1,142.26, 1,713.37 and 448.93

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Solution

The fourth proportional to 1,142.26, 1,713.37 and 448.93 is: 673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.26 : 1,713.37 = 448.93 : x
  2. Step 2: Convert to fraction form
    1,142.26/1,713.37 = 448.93/x
  3. Step 3: Cross multiply
    1,142.26x = 1,713.37 × 448.93
  4. Step 4: Simplify right side
    1,142.26x = 769,183.19
  5. Step 5: Solve for x
    x = 769,183.19/1,142.26
  6. Step 6: Final answer
    x = 673.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.