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Finding the Fourth Proportional to 1,108.20, 1,664.10 and 622.20

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Solution

The fourth proportional to 1,108.20, 1,664.10 and 622.20 is: 934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.20 : 1,664.10 = 622.20 : x
  2. Step 2: Convert to fraction form
    1,108.20/1,664.10 = 622.20/x
  3. Step 3: Cross multiply
    1,108.20x = 1,664.10 × 622.20
  4. Step 4: Simplify right side
    1,108.20x = 1,035,403.02
  5. Step 5: Solve for x
    x = 1,035,403.02/1,108.20
  6. Step 6: Final answer
    x = 934.31

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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.