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Finding the Fourth Proportional to 1,161.66, 1,742.79 and 512.85

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Solution

The fourth proportional to 1,161.66, 1,742.79 and 512.85 is: 769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.66 : 1,742.79 = 512.85 : x
  2. Step 2: Convert to fraction form
    1,161.66/1,742.79 = 512.85/x
  3. Step 3: Cross multiply
    1,161.66x = 1,742.79 × 512.85
  4. Step 4: Simplify right side
    1,161.66x = 893,789.85
  5. Step 5: Solve for x
    x = 893,789.85/1,161.66
  6. Step 6: Final answer
    x = 769.41

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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.