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Finding the Fourth Proportional to 1,522.89, 2,282.94 and 548.78

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Solution

The fourth proportional to 1,522.89, 2,282.94 and 548.78 is: 822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.89 : 2,282.94 = 548.78 : x
  2. Step 2: Convert to fraction form
    1,522.89/2,282.94 = 548.78/x
  3. Step 3: Cross multiply
    1,522.89x = 2,282.94 × 548.78
  4. Step 4: Simplify right side
    1,522.89x = 1,252,820.40
  5. Step 5: Solve for x
    x = 1,252,820.40/1,522.89
  6. Step 6: Final answer
    x = 822.66

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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.