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Finding the Fourth Proportional to 1,523.27, 2,283.54 and 548.69

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Solution

The fourth proportional to 1,523.27, 2,283.54 and 548.69 is: 822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.27 : 2,283.54 = 548.69 : x
  2. Step 2: Convert to fraction form
    1,523.27/2,283.54 = 548.69/x
  3. Step 3: Cross multiply
    1,523.27x = 2,283.54 × 548.69
  4. Step 4: Simplify right side
    1,523.27x = 1,252,955.56
  5. Step 5: Solve for x
    x = 1,252,955.56/1,523.27
  6. Step 6: Final answer
    x = 822.54

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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.