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Finding the Fourth Proportional to 1,408.94, 2,114.69 and 716.09

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Solution

The fourth proportional to 1,408.94, 2,114.69 and 716.09 is: 1,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.94 : 2,114.69 = 716.09 : x
  2. Step 2: Convert to fraction form
    1,408.94/2,114.69 = 716.09/x
  3. Step 3: Cross multiply
    1,408.94x = 2,114.69 × 716.09
  4. Step 4: Simplify right side
    1,408.94x = 1,514,294.21
  5. Step 5: Solve for x
    x = 1,514,294.21/1,408.94
  6. Step 6: Final answer
    x = 1,074.78

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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.