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Finding the Fourth Proportional to 775.42, 1,163.72 and 410.29

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Solution

The fourth proportional to 775.42, 1,163.72 and 410.29 is: 615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.42 : 1,163.72 = 410.29 : x
  2. Step 2: Convert to fraction form
    775.42/1,163.72 = 410.29/x
  3. Step 3: Cross multiply
    775.42x = 1,163.72 × 410.29
  4. Step 4: Simplify right side
    775.42x = 477,460.63
  5. Step 5: Solve for x
    x = 477,460.63/775.42
  6. Step 6: Final answer
    x = 615.74

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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.