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Finding the Fourth Proportional to 1,161.73, 1,742.13 and 512

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Solution

The fourth proportional to 1,161.73, 1,742.13 and 512 is: 767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.73 : 1,742.13 = 512 : x
  2. Step 2: Convert to fraction form
    1,161.73/1,742.13 = 512/x
  3. Step 3: Cross multiply
    1,161.73x = 1,742.13 × 512
  4. Step 4: Simplify right side
    1,161.73x = 891,970.56
  5. Step 5: Solve for x
    x = 891,970.56/1,161.73
  6. Step 6: Final answer
    x = 767.80

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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.