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Finding the Fourth Proportional to 922.20, 1,383.10 and 556.49

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Solution

The fourth proportional to 922.20, 1,383.10 and 556.49 is: 834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.20 : 1,383.10 = 556.49 : x
  2. Step 2: Convert to fraction form
    922.20/1,383.10 = 556.49/x
  3. Step 3: Cross multiply
    922.20x = 1,383.10 × 556.49
  4. Step 4: Simplify right side
    922.20x = 769,671.62
  5. Step 5: Solve for x
    x = 769,671.62/922.20
  6. Step 6: Final answer
    x = 834.60

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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.