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Finding the Fourth Proportional to 1,208.72, 1,669.32 and 1,165.52

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Solution

The fourth proportional to 1,208.72, 1,669.32 and 1,165.52 is: 1,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.72 : 1,669.32 = 1,165.52 : x
  2. Step 2: Convert to fraction form
    1,208.72/1,669.32 = 1,165.52/x
  3. Step 3: Cross multiply
    1,208.72x = 1,669.32 × 1,165.52
  4. Step 4: Simplify right side
    1,208.72x = 1,945,625.85
  5. Step 5: Solve for x
    x = 1,945,625.85/1,208.72
  6. Step 6: Final answer
    x = 1,609.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.