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Finding the Fourth Proportional to 775.53, 1,161.77 and 466.47

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Solution

The fourth proportional to 775.53, 1,161.77 and 466.47 is: 698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.53 : 1,161.77 = 466.47 : x
  2. Step 2: Convert to fraction form
    775.53/1,161.77 = 466.47/x
  3. Step 3: Cross multiply
    775.53x = 1,161.77 × 466.47
  4. Step 4: Simplify right side
    775.53x = 541,922.71
  5. Step 5: Solve for x
    x = 541,922.71/775.53
  6. Step 6: Final answer
    x = 698.78

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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.