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Finding the Fourth Proportional to 1,408.05, 2,112.31 and 483.39

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Solution

The fourth proportional to 1,408.05, 2,112.31 and 483.39 is: 725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.05 : 2,112.31 = 483.39 : x
  2. Step 2: Convert to fraction form
    1,408.05/2,112.31 = 483.39/x
  3. Step 3: Cross multiply
    1,408.05x = 2,112.31 × 483.39
  4. Step 4: Simplify right side
    1,408.05x = 1,021,066.84
  5. Step 5: Solve for x
    x = 1,021,066.84/1,408.05
  6. Step 6: Final answer
    x = 725.16

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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.