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Finding the Fourth Proportional to 865.96, 1,299.22 and 345.94

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Solution

The fourth proportional to 865.96, 1,299.22 and 345.94 is: 519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.96 : 1,299.22 = 345.94 : x
  2. Step 2: Convert to fraction form
    865.96/1,299.22 = 345.94/x
  3. Step 3: Cross multiply
    865.96x = 1,299.22 × 345.94
  4. Step 4: Simplify right side
    865.96x = 449,452.17
  5. Step 5: Solve for x
    x = 449,452.17/865.96
  6. Step 6: Final answer
    x = 519.02

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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.