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Finding the Fourth Proportional to 906.24, 1,363.46 and 541.29

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Solution

The fourth proportional to 906.24, 1,363.46 and 541.29 is: 814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.24 : 1,363.46 = 541.29 : x
  2. Step 2: Convert to fraction form
    906.24/1,363.46 = 541.29/x
  3. Step 3: Cross multiply
    906.24x = 1,363.46 × 541.29
  4. Step 4: Simplify right side
    906.24x = 738,024.56
  5. Step 5: Solve for x
    x = 738,024.56/906.24
  6. Step 6: Final answer
    x = 814.38

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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.