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Finding the Fourth Proportional to 1,326.56, 1,829.97 and 829.49

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Solution

The fourth proportional to 1,326.56, 1,829.97 and 829.49 is: 1,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.56 : 1,829.97 = 829.49 : x
  2. Step 2: Convert to fraction form
    1,326.56/1,829.97 = 829.49/x
  3. Step 3: Cross multiply
    1,326.56x = 1,829.97 × 829.49
  4. Step 4: Simplify right side
    1,326.56x = 1,517,932.67
  5. Step 5: Solve for x
    x = 1,517,932.67/1,326.56
  6. Step 6: Final answer
    x = 1,144.27

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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.