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Finding the Fourth Proportional to 1,408.10, 2,109.83 and 483.17

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Solution

The fourth proportional to 1,408.10, 2,109.83 and 483.17 is: 723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.10 : 2,109.83 = 483.17 : x
  2. Step 2: Convert to fraction form
    1,408.10/2,109.83 = 483.17/x
  3. Step 3: Cross multiply
    1,408.10x = 2,109.83 × 483.17
  4. Step 4: Simplify right side
    1,408.10x = 1,019,393.60
  5. Step 5: Solve for x
    x = 1,019,393.60/1,408.10
  6. Step 6: Final answer
    x = 723.95

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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.