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Finding the Fourth Proportional to 806.72, 1,211.29 and 460.44

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Solution

The fourth proportional to 806.72, 1,211.29 and 460.44 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.72 : 1,211.29 = 460.44 : x
  2. Step 2: Convert to fraction form
    806.72/1,211.29 = 460.44/x
  3. Step 3: Cross multiply
    806.72x = 1,211.29 × 460.44
  4. Step 4: Simplify right side
    806.72x = 557,725.22
  5. Step 5: Solve for x
    x = 557,725.22/806.72
  6. Step 6: Final answer
    x = 691.35

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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.