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Finding the Fourth Proportional to 1,408.27, 2,109.69 and 790.10

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Solution

The fourth proportional to 1,408.27, 2,109.69 and 790.10 is: 1,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.27 : 2,109.69 = 790.10 : x
  2. Step 2: Convert to fraction form
    1,408.27/2,109.69 = 790.10/x
  3. Step 3: Cross multiply
    1,408.27x = 2,109.69 × 790.10
  4. Step 4: Simplify right side
    1,408.27x = 1,666,866.07
  5. Step 5: Solve for x
    x = 1,666,866.07/1,408.27
  6. Step 6: Final answer
    x = 1,183.63

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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.