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Finding the Fourth Proportional to 813.08, 1,220.02 and 402.56

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Solution

The fourth proportional to 813.08, 1,220.02 and 402.56 is: 604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.08 : 1,220.02 = 402.56 : x
  2. Step 2: Convert to fraction form
    813.08/1,220.02 = 402.56/x
  3. Step 3: Cross multiply
    813.08x = 1,220.02 × 402.56
  4. Step 4: Simplify right side
    813.08x = 491,131.25
  5. Step 5: Solve for x
    x = 491,131.25/813.08
  6. Step 6: Final answer
    x = 604.04

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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.