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Finding the Fourth Proportional to 587.73, 882.20 and 563.13

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Solution

The fourth proportional to 587.73, 882.20 and 563.13 is: 845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.73 : 882.20 = 563.13 : x
  2. Step 2: Convert to fraction form
    587.73/882.20 = 563.13/x
  3. Step 3: Cross multiply
    587.73x = 882.20 × 563.13
  4. Step 4: Simplify right side
    587.73x = 496,793.29
  5. Step 5: Solve for x
    x = 496,793.29/587.73
  6. Step 6: Final answer
    x = 845.27

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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.