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Finding the Fourth Proportional to 775.69, 1,162.43 and 463.47

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Solution

The fourth proportional to 775.69, 1,162.43 and 463.47 is: 694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.69 : 1,162.43 = 463.47 : x
  2. Step 2: Convert to fraction form
    775.69/1,162.43 = 463.47/x
  3. Step 3: Cross multiply
    775.69x = 1,162.43 × 463.47
  4. Step 4: Simplify right side
    775.69x = 538,745.62
  5. Step 5: Solve for x
    x = 538,745.62/775.69
  6. Step 6: Final answer
    x = 694.54

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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.