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Finding the Fourth Proportional to 856.14, 1,181.43 and 506.94

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Solution

The fourth proportional to 856.14, 1,181.43 and 506.94 is: 699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.14 : 1,181.43 = 506.94 : x
  2. Step 2: Convert to fraction form
    856.14/1,181.43 = 506.94/x
  3. Step 3: Cross multiply
    856.14x = 1,181.43 × 506.94
  4. Step 4: Simplify right side
    856.14x = 598,914.12
  5. Step 5: Solve for x
    x = 598,914.12/856.14
  6. Step 6: Final answer
    x = 699.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.