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Finding the Fourth Proportional to 1,105.29, 1,524.14 and 825.08

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Solution

The fourth proportional to 1,105.29, 1,524.14 and 825.08 is: 1,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.29 : 1,524.14 = 825.08 : x
  2. Step 2: Convert to fraction form
    1,105.29/1,524.14 = 825.08/x
  3. Step 3: Cross multiply
    1,105.29x = 1,524.14 × 825.08
  4. Step 4: Simplify right side
    1,105.29x = 1,257,525.69
  5. Step 5: Solve for x
    x = 1,257,525.69/1,105.29
  6. Step 6: Final answer
    x = 1,137.73

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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.