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Finding the Fourth Proportional to 856.82, 1,181.52 and 636.20

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Solution

The fourth proportional to 856.82, 1,181.52 and 636.20 is: 877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.82 : 1,181.52 = 636.20 : x
  2. Step 2: Convert to fraction form
    856.82/1,181.52 = 636.20/x
  3. Step 3: Cross multiply
    856.82x = 1,181.52 × 636.20
  4. Step 4: Simplify right side
    856.82x = 751,683.02
  5. Step 5: Solve for x
    x = 751,683.02/856.82
  6. Step 6: Final answer
    x = 877.29

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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.