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Finding the Fourth Proportional to 805.19, 1,207.78 and 228.06

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Solution

The fourth proportional to 805.19, 1,207.78 and 228.06 is: 342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.19 : 1,207.78 = 228.06 : x
  2. Step 2: Convert to fraction form
    805.19/1,207.78 = 228.06/x
  3. Step 3: Cross multiply
    805.19x = 1,207.78 × 228.06
  4. Step 4: Simplify right side
    805.19x = 275,449.61
  5. Step 5: Solve for x
    x = 275,449.61/805.19
  6. Step 6: Final answer
    x = 342.09

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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.