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Finding the Fourth Proportional to 673.92, 1,006.74 and 564.57

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Solution

The fourth proportional to 673.92, 1,006.74 and 564.57 is: 843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.92 : 1,006.74 = 564.57 : x
  2. Step 2: Convert to fraction form
    673.92/1,006.74 = 564.57/x
  3. Step 3: Cross multiply
    673.92x = 1,006.74 × 564.57
  4. Step 4: Simplify right side
    673.92x = 568,375.20
  5. Step 5: Solve for x
    x = 568,375.20/673.92
  6. Step 6: Final answer
    x = 843.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.