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Finding the Fourth Proportional to 1,102.05, 1,520.62 and 636.21

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Solution

The fourth proportional to 1,102.05, 1,520.62 and 636.21 is: 877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.05 : 1,520.62 = 636.21 : x
  2. Step 2: Convert to fraction form
    1,102.05/1,520.62 = 636.21/x
  3. Step 3: Cross multiply
    1,102.05x = 1,520.62 × 636.21
  4. Step 4: Simplify right side
    1,102.05x = 967,432.06
  5. Step 5: Solve for x
    x = 967,432.06/1,102.05
  6. Step 6: Final answer
    x = 877.85

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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.