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Finding the Fourth Proportional to 822.69, 1,232.82 and 544.46

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Solution

The fourth proportional to 822.69, 1,232.82 and 544.46 is: 815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.69 : 1,232.82 = 544.46 : x
  2. Step 2: Convert to fraction form
    822.69/1,232.82 = 544.46/x
  3. Step 3: Cross multiply
    822.69x = 1,232.82 × 544.46
  4. Step 4: Simplify right side
    822.69x = 671,215.01
  5. Step 5: Solve for x
    x = 671,215.01/822.69
  6. Step 6: Final answer
    x = 815.88

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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.