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Finding the Fourth Proportional to 775.76, 1,163.70 and 410.54

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Solution

The fourth proportional to 775.76, 1,163.70 and 410.54 is: 615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.76 : 1,163.70 = 410.54 : x
  2. Step 2: Convert to fraction form
    775.76/1,163.70 = 410.54/x
  3. Step 3: Cross multiply
    775.76x = 1,163.70 × 410.54
  4. Step 4: Simplify right side
    775.76x = 477,739.58
  5. Step 5: Solve for x
    x = 477,739.58/775.76
  6. Step 6: Final answer
    x = 615.84

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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.