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Finding the Fourth Proportional to 814.34, 1,220.97 and 345.57

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Solution

The fourth proportional to 814.34, 1,220.97 and 345.57 is: 518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.34 : 1,220.97 = 345.57 : x
  2. Step 2: Convert to fraction form
    814.34/1,220.97 = 345.57/x
  3. Step 3: Cross multiply
    814.34x = 1,220.97 × 345.57
  4. Step 4: Simplify right side
    814.34x = 421,927.32
  5. Step 5: Solve for x
    x = 421,927.32/814.34
  6. Step 6: Final answer
    x = 518.12

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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.