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Finding the Fourth Proportional to 1,213.50, 1,821.60 and 564.21

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Solution

The fourth proportional to 1,213.50, 1,821.60 and 564.21 is: 846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.50 : 1,821.60 = 564.21 : x
  2. Step 2: Convert to fraction form
    1,213.50/1,821.60 = 564.21/x
  3. Step 3: Cross multiply
    1,213.50x = 1,821.60 × 564.21
  4. Step 4: Simplify right side
    1,213.50x = 1,027,764.94
  5. Step 5: Solve for x
    x = 1,027,764.94/1,213.50
  6. Step 6: Final answer
    x = 846.94

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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.