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Finding the Fourth Proportional to 855.68, 1,181.08 and 506.48

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Solution

The fourth proportional to 855.68, 1,181.08 and 506.48 is: 699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.68 : 1,181.08 = 506.48 : x
  2. Step 2: Convert to fraction form
    855.68/1,181.08 = 506.48/x
  3. Step 3: Cross multiply
    855.68x = 1,181.08 × 506.48
  4. Step 4: Simplify right side
    855.68x = 598,193.40
  5. Step 5: Solve for x
    x = 598,193.40/855.68
  6. Step 6: Final answer
    x = 699.09

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Why These Related Problems?

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