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Finding the Fourth Proportional to 1,522.38, 2,282.70 and 482.18

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Solution

The fourth proportional to 1,522.38, 2,282.70 and 482.18 is: 722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.38 : 2,282.70 = 482.18 : x
  2. Step 2: Convert to fraction form
    1,522.38/2,282.70 = 482.18/x
  3. Step 3: Cross multiply
    1,522.38x = 2,282.70 × 482.18
  4. Step 4: Simplify right side
    1,522.38x = 1,100,672.29
  5. Step 5: Solve for x
    x = 1,100,672.29/1,522.38
  6. Step 6: Final answer
    x = 722.99

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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.