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Finding the Fourth Proportional to 775.73, 1,162.58 and 410.42

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Solution

The fourth proportional to 775.73, 1,162.58 and 410.42 is: 615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.73 : 1,162.58 = 410.42 : x
  2. Step 2: Convert to fraction form
    775.73/1,162.58 = 410.42/x
  3. Step 3: Cross multiply
    775.73x = 1,162.58 × 410.42
  4. Step 4: Simplify right side
    775.73x = 477,138.22
  5. Step 5: Solve for x
    x = 477,138.22/775.73
  6. Step 6: Final answer
    x = 615.09

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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.