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Finding the Fourth Proportional to 906.03, 1,363.16 and 541.09

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Solution

The fourth proportional to 906.03, 1,363.16 and 541.09 is: 814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.03 : 1,363.16 = 541.09 : x
  2. Step 2: Convert to fraction form
    906.03/1,363.16 = 541.09/x
  3. Step 3: Cross multiply
    906.03x = 1,363.16 × 541.09
  4. Step 4: Simplify right side
    906.03x = 737,595.30
  5. Step 5: Solve for x
    x = 737,595.30/906.03
  6. Step 6: Final answer
    x = 814.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.