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Finding the Fourth Proportional to 1,023.11, 1,412.42 and 798.56

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Solution

The fourth proportional to 1,023.11, 1,412.42 and 798.56 is: 1,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.11 : 1,412.42 = 798.56 : x
  2. Step 2: Convert to fraction form
    1,023.11/1,412.42 = 798.56/x
  3. Step 3: Cross multiply
    1,023.11x = 1,412.42 × 798.56
  4. Step 4: Simplify right side
    1,023.11x = 1,127,896.59
  5. Step 5: Solve for x
    x = 1,127,896.59/1,023.11
  6. Step 6: Final answer
    x = 1,102.43

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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.