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Finding the Fourth Proportional to 809.08, 1,215.90 and 554.20

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Solution

The fourth proportional to 809.08, 1,215.90 and 554.20 is: 832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.08 : 1,215.90 = 554.20 : x
  2. Step 2: Convert to fraction form
    809.08/1,215.90 = 554.20/x
  3. Step 3: Cross multiply
    809.08x = 1,215.90 × 554.20
  4. Step 4: Simplify right side
    809.08x = 673,851.78
  5. Step 5: Solve for x
    x = 673,851.78/809.08
  6. Step 6: Final answer
    x = 832.86

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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.