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Finding the Fourth Proportional to 775.84, 1,163.36 and 451.84

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Solution

The fourth proportional to 775.84, 1,163.36 and 451.84 is: 677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,163.36 = 451.84 : x
  2. Step 2: Convert to fraction form
    775.84/1,163.36 = 451.84/x
  3. Step 3: Cross multiply
    775.84x = 1,163.36 × 451.84
  4. Step 4: Simplify right side
    775.84x = 525,652.58
  5. Step 5: Solve for x
    x = 525,652.58/775.84
  6. Step 6: Final answer
    x = 677.53

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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.