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Finding the Fourth Proportional to 1,408.69, 2,111.87 and 531.06

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Solution

The fourth proportional to 1,408.69, 2,111.87 and 531.06 is: 796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.69 : 2,111.87 = 531.06 : x
  2. Step 2: Convert to fraction form
    1,408.69/2,111.87 = 531.06/x
  3. Step 3: Cross multiply
    1,408.69x = 2,111.87 × 531.06
  4. Step 4: Simplify right side
    1,408.69x = 1,121,523.09
  5. Step 5: Solve for x
    x = 1,121,523.09/1,408.69
  6. Step 6: Final answer
    x = 796.15

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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.