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Finding the Fourth Proportional to 1,025.46, 1,414.56 and 605.68

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Solution

The fourth proportional to 1,025.46, 1,414.56 and 605.68 is: 835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.46 : 1,414.56 = 605.68 : x
  2. Step 2: Convert to fraction form
    1,025.46/1,414.56 = 605.68/x
  3. Step 3: Cross multiply
    1,025.46x = 1,414.56 × 605.68
  4. Step 4: Simplify right side
    1,025.46x = 856,769.44
  5. Step 5: Solve for x
    x = 856,769.44/1,025.46
  6. Step 6: Final answer
    x = 835.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.