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Finding the Fourth Proportional to 1,408.56, 2,112.68 and 542.27

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Solution

The fourth proportional to 1,408.56, 2,112.68 and 542.27 is: 813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.56 : 2,112.68 = 542.27 : x
  2. Step 2: Convert to fraction form
    1,408.56/2,112.68 = 542.27/x
  3. Step 3: Cross multiply
    1,408.56x = 2,112.68 × 542.27
  4. Step 4: Simplify right side
    1,408.56x = 1,145,629.71
  5. Step 5: Solve for x
    x = 1,145,629.71/1,408.56
  6. Step 6: Final answer
    x = 813.33

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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.