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Finding the Fourth Proportional to 1,522.65, 2,283.97 and 548.75

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Solution

The fourth proportional to 1,522.65, 2,283.97 and 548.75 is: 823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.65 : 2,283.97 = 548.75 : x
  2. Step 2: Convert to fraction form
    1,522.65/2,283.97 = 548.75/x
  3. Step 3: Cross multiply
    1,522.65x = 2,283.97 × 548.75
  4. Step 4: Simplify right side
    1,522.65x = 1,253,328.54
  5. Step 5: Solve for x
    x = 1,253,328.54/1,522.65
  6. Step 6: Final answer
    x = 823.12

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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.