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Finding the Fourth Proportional to 812.61, 1,219.28 and 593.44

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Solution

The fourth proportional to 812.61, 1,219.28 and 593.44 is: 890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.61 : 1,219.28 = 593.44 : x
  2. Step 2: Convert to fraction form
    812.61/1,219.28 = 593.44/x
  3. Step 3: Cross multiply
    812.61x = 1,219.28 × 593.44
  4. Step 4: Simplify right side
    812.61x = 723,563.51
  5. Step 5: Solve for x
    x = 723,563.51/812.61
  6. Step 6: Final answer
    x = 890.42

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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.