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Finding the Fourth Proportional to 1,522.46, 2,283.53 and 548.57

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Solution

The fourth proportional to 1,522.46, 2,283.53 and 548.57 is: 822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.46 : 2,283.53 = 548.57 : x
  2. Step 2: Convert to fraction form
    1,522.46/2,283.53 = 548.57/x
  3. Step 3: Cross multiply
    1,522.46x = 2,283.53 × 548.57
  4. Step 4: Simplify right side
    1,522.46x = 1,252,661.89
  5. Step 5: Solve for x
    x = 1,252,661.89/1,522.46
  6. Step 6: Final answer
    x = 822.79

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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.