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Finding the Fourth Proportional to 1,635.44, 2,453.52 and 711.14

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Solution

The fourth proportional to 1,635.44, 2,453.52 and 711.14 is: 1,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.44 : 2,453.52 = 711.14 : x
  2. Step 2: Convert to fraction form
    1,635.44/2,453.52 = 711.14/x
  3. Step 3: Cross multiply
    1,635.44x = 2,453.52 × 711.14
  4. Step 4: Simplify right side
    1,635.44x = 1,744,796.21
  5. Step 5: Solve for x
    x = 1,744,796.21/1,635.44
  6. Step 6: Final answer
    x = 1,066.87

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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.