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Finding the Fourth Proportional to 1,522.17, 2,282.39 and 482.44

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Solution

The fourth proportional to 1,522.17, 2,282.39 and 482.44 is: 723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.17 : 2,282.39 = 482.44 : x
  2. Step 2: Convert to fraction form
    1,522.17/2,282.39 = 482.44/x
  3. Step 3: Cross multiply
    1,522.17x = 2,282.39 × 482.44
  4. Step 4: Simplify right side
    1,522.17x = 1,101,111.73
  5. Step 5: Solve for x
    x = 1,101,111.73/1,522.17
  6. Step 6: Final answer
    x = 723.38

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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.