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Finding the Fourth Proportional to 856.09, 1,181.62 and 502.06

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Solution

The fourth proportional to 856.09, 1,181.62 and 502.06 is: 692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.09 : 1,181.62 = 502.06 : x
  2. Step 2: Convert to fraction form
    856.09/1,181.62 = 502.06/x
  3. Step 3: Cross multiply
    856.09x = 1,181.62 × 502.06
  4. Step 4: Simplify right side
    856.09x = 593,245.44
  5. Step 5: Solve for x
    x = 593,245.44/856.09
  6. Step 6: Final answer
    x = 692.97

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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.