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Finding the Fourth Proportional to 572.72, 791.91 and 563.45

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Solution

The fourth proportional to 572.72, 791.91 and 563.45 is: 779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.72 : 791.91 = 563.45 : x
  2. Step 2: Convert to fraction form
    572.72/791.91 = 563.45/x
  3. Step 3: Cross multiply
    572.72x = 791.91 × 563.45
  4. Step 4: Simplify right side
    572.72x = 446,203.67
  5. Step 5: Solve for x
    x = 446,203.67/572.72
  6. Step 6: Final answer
    x = 779.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.