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Finding the Fourth Proportional to 1,522.06, 2,283.06 and 548.80

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Solution

The fourth proportional to 1,522.06, 2,283.06 and 548.80 is: 823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.06 : 2,283.06 = 548.80 : x
  2. Step 2: Convert to fraction form
    1,522.06/2,283.06 = 548.80/x
  3. Step 3: Cross multiply
    1,522.06x = 2,283.06 × 548.80
  4. Step 4: Simplify right side
    1,522.06x = 1,252,943.33
  5. Step 5: Solve for x
    x = 1,252,943.33/1,522.06
  6. Step 6: Final answer
    x = 823.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.