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Finding the Fourth Proportional to 1,522.78, 2,285.10 and 548.80

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Solution

The fourth proportional to 1,522.78, 2,285.10 and 548.80 is: 823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.78 : 2,285.10 = 548.80 : x
  2. Step 2: Convert to fraction form
    1,522.78/2,285.10 = 548.80/x
  3. Step 3: Cross multiply
    1,522.78x = 2,285.10 × 548.80
  4. Step 4: Simplify right side
    1,522.78x = 1,254,062.88
  5. Step 5: Solve for x
    x = 1,254,062.88/1,522.78
  6. Step 6: Final answer
    x = 823.54

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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.