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Finding the Fourth Proportional to 1,475.69, 2,213.60 and 550.94

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Solution

The fourth proportional to 1,475.69, 2,213.60 and 550.94 is: 826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.69 : 2,213.60 = 550.94 : x
  2. Step 2: Convert to fraction form
    1,475.69/2,213.60 = 550.94/x
  3. Step 3: Cross multiply
    1,475.69x = 2,213.60 × 550.94
  4. Step 4: Simplify right side
    1,475.69x = 1,219,546.96
  5. Step 5: Solve for x
    x = 1,219,546.96/1,475.69
  6. Step 6: Final answer
    x = 826.43

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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.