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Finding the Fourth Proportional to 589.02, 814.34 and 563.19

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Solution

The fourth proportional to 589.02, 814.34 and 563.19 is: 778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 814.34 = 563.19 : x
  2. Step 2: Convert to fraction form
    589.02/814.34 = 563.19/x
  3. Step 3: Cross multiply
    589.02x = 814.34 × 563.19
  4. Step 4: Simplify right side
    589.02x = 458,625.33
  5. Step 5: Solve for x
    x = 458,625.33/589.02
  6. Step 6: Final answer
    x = 778.62

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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.