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Finding the Fourth Proportional to 1,122.03, 1,682.82 and 381.56

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Solution

The fourth proportional to 1,122.03, 1,682.82 and 381.56 is: 572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.03 : 1,682.82 = 381.56 : x
  2. Step 2: Convert to fraction form
    1,122.03/1,682.82 = 381.56/x
  3. Step 3: Cross multiply
    1,122.03x = 1,682.82 × 381.56
  4. Step 4: Simplify right side
    1,122.03x = 642,088.39
  5. Step 5: Solve for x
    x = 642,088.39/1,122.03
  6. Step 6: Final answer
    x = 572.26

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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.