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Finding the Fourth Proportional to 1,761.69, 2,642.67 and 512.31

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Solution

The fourth proportional to 1,761.69, 2,642.67 and 512.31 is: 768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.69 : 2,642.67 = 512.31 : x
  2. Step 2: Convert to fraction form
    1,761.69/2,642.67 = 512.31/x
  3. Step 3: Cross multiply
    1,761.69x = 2,642.67 × 512.31
  4. Step 4: Simplify right side
    1,761.69x = 1,353,866.27
  5. Step 5: Solve for x
    x = 1,353,866.27/1,761.69
  6. Step 6: Final answer
    x = 768.50

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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.