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Finding the Fourth Proportional to 863.30, 1,294.89 and 400.94

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Solution

The fourth proportional to 863.30, 1,294.89 and 400.94 is: 601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.30 : 1,294.89 = 400.94 : x
  2. Step 2: Convert to fraction form
    863.30/1,294.89 = 400.94/x
  3. Step 3: Cross multiply
    863.30x = 1,294.89 × 400.94
  4. Step 4: Simplify right side
    863.30x = 519,173.20
  5. Step 5: Solve for x
    x = 519,173.20/863.30
  6. Step 6: Final answer
    x = 601.38

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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.