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Finding the Fourth Proportional to 1,161.75, 1,742.07 and 431.26

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Solution

The fourth proportional to 1,161.75, 1,742.07 and 431.26 is: 646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.75 : 1,742.07 = 431.26 : x
  2. Step 2: Convert to fraction form
    1,161.75/1,742.07 = 431.26/x
  3. Step 3: Cross multiply
    1,161.75x = 1,742.07 × 431.26
  4. Step 4: Simplify right side
    1,161.75x = 751,285.11
  5. Step 5: Solve for x
    x = 751,285.11/1,161.75
  6. Step 6: Final answer
    x = 646.68

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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.