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Finding the Fourth Proportional to 1,408.13, 2,112.23 and 484.75

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Solution

The fourth proportional to 1,408.13, 2,112.23 and 484.75 is: 727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.13 : 2,112.23 = 484.75 : x
  2. Step 2: Convert to fraction form
    1,408.13/2,112.23 = 484.75/x
  3. Step 3: Cross multiply
    1,408.13x = 2,112.23 × 484.75
  4. Step 4: Simplify right side
    1,408.13x = 1,023,903.49
  5. Step 5: Solve for x
    x = 1,023,903.49/1,408.13
  6. Step 6: Final answer
    x = 727.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.