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Finding the Fourth Proportional to 1,408.12, 2,112.36 and 542.68

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Solution

The fourth proportional to 1,408.12, 2,112.36 and 542.68 is: 814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.12 : 2,112.36 = 542.68 : x
  2. Step 2: Convert to fraction form
    1,408.12/2,112.36 = 542.68/x
  3. Step 3: Cross multiply
    1,408.12x = 2,112.36 × 542.68
  4. Step 4: Simplify right side
    1,408.12x = 1,146,335.52
  5. Step 5: Solve for x
    x = 1,146,335.52/1,408.12
  6. Step 6: Final answer
    x = 814.09

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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.