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Finding the Fourth Proportional to 1,103.78, 1,523.16 and 638

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Solution

The fourth proportional to 1,103.78, 1,523.16 and 638 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.78 : 1,523.16 = 638 : x
  2. Step 2: Convert to fraction form
    1,103.78/1,523.16 = 638/x
  3. Step 3: Cross multiply
    1,103.78x = 1,523.16 × 638
  4. Step 4: Simplify right side
    1,103.78x = 971,776.08
  5. Step 5: Solve for x
    x = 971,776.08/1,103.78
  6. Step 6: Final answer
    x = 880.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.