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Finding the Fourth Proportional to 814.31, 1,220.31 and 593.95

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Solution

The fourth proportional to 814.31, 1,220.31 and 593.95 is: 890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.31 : 1,220.31 = 593.95 : x
  2. Step 2: Convert to fraction form
    814.31/1,220.31 = 593.95/x
  3. Step 3: Cross multiply
    814.31x = 1,220.31 × 593.95
  4. Step 4: Simplify right side
    814.31x = 724,800.15
  5. Step 5: Solve for x
    x = 724,800.15/814.31
  6. Step 6: Final answer
    x = 890.08

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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.